Hello, I'm trying to find the following sequence that relates to the number of ways that paving stones can be laid to make a 3footwide path using 3foot by 1foot stones. This is a very complex problem, and I'd appreciate
129,472 results
Probability
Convergence in probability. For each of the following sequences, determine whether it converges in probability to a constant. If it does, enter the value of the limit. If it does not, enter the number “999". 1) Let X1, X2,… be independent continuous

algebra
Describe the pattern in each sequence and determine the next term of the sequence. 11, 17, 23, 29, … The pattern in each sequence is that after each sequence, the number is added by 6. The next term of the sequence would be 35. Is this right?

Math
1. Find the sum of the first five terms of the sequence 2/3, 2, 6, 18, ..... My answer is 242. Am I right? 2. Which of these two sequences form a geometric sequence: 2x, 4x2, 6x4, ..... OR x+1, 2x+2, 5x+1, .....? Find the value/s of x and what is the

Math
How many ways can 3 students be chosen from a class of 20 to represent their class at a banquet? (1 point) 6,840 3,420 1,140 2,280 15. You and 3 friends go to a concert. In how many different ways can you sit in the assigned seats? (1 point) a.6 ways b.12

math
Four accounting majors, two economics majors, and three marketing majors have interviewed for five different positions with a large company. Find the number of different ways that five of these could be hired. One accounting major, one economics major, and

Algebra ASAP
pls pls help out A geometric sequence begins 36, 9, 9/4, 9/16, 9/64, . . . . (a) Find the common ratio r for this sequence. r = (b) Find a formula for the nth term an of the sequence. an = (c) Find the tenth term of the sequence. a10 =

probability
Problem 3: Checking the Markov property For each one of the following definitions of the state Xk at time k (for k=1,2,…), determine whether the Markov property is satisfied by the sequence X1,X2,…. A fair sixsided die (with sides labelled 1,2,…,6)

HOME ECONOMICS
List out 10 items found in a home and find the subjects to which of them relates other than home economics(Write against each object that subject to which it relates to.

Mathematics
Let there be a sequence of integers a_1, a_2, a_3,.... For each a_i, multiply a_i written in base 10 by 5^100. Then, in the product, replace each digit with its remainder when divided by 2. Read this new number as if it’s in base 2, and convert it into

Quick math help
Find the tenth term of the sequence: 6,1,8... Is it 57? For the sequence:2,4,8,16 the value of s4 is____. Is it 8? Find the 7th term of the sequence: 1,2,4,... Is it 64? Which term of this sequence is 275? 5,10,15,... Is it 1357? Find the 7thterm of an.

Algebra 1 Honors
Write an equation for the nth term of the arithmetic sequence. Then graph the first five terms in the Sequence. 3,8,13,18 I got 5n8 as my formula. Then plugged 5 in for n and got 17 for the 5th number in the sequence. Is this correct?

Trigonometry
A calculator is broken so that the only keys that still work are the sin, cos, tan, cot, sin^1, cos^1, and tan^1 buttons. The display initially shows 0. In this problem, we will prove that given any positive rational number q, show that pressing some

Math
1. What are the next two terms of the following sequence? 3, 1, 5, 9... 2. What are the next two terms of the following sequence? 2, 4, 8, 16... 3. What is the common difference of the following arithmetic sequence? 13, 7, 27, 47... 4. What is the

math
Choose the one alternative that best completes the statement or answers the question. Use inductive reasoning to predict the next number in the sequence. 1) 7, 13, 19, 25, 31, . . . 1) _______ A) 43 B) 38 C) 37 D) 36 Indicate whether the sequence is

Computer Science  MATLAB
One interesting property of a Fibonacci sequence is that the ratio of the values of adjacent members of the sequence approach a number called “the golden ratio” or PHI. Create a program that accepts the first two numbers of a Fibonacci sequence as a

Math
If I start with number 7 and count by 4s, the following sequence is obtained: 7, 11, 15, 19, 23, and so forth. A new sequence os formed when I start with a different number and count by a different number. Suppose the 2nd number of the new sequence is 8

URGET!!
DOING A 20 QUESTION MATH TEST AND GOT STUCK ON THESE PROBLEMS!!:( 1.find the three terms in the sequence 30,22,14,6,.... 2.write a rule for the sequence 4,8,16,32 3.find the firstfour terms of the sequence represented by the expressed sequence 3n + 5. 4.a

Algebra Help
Consider the sequence 2, 6, 18, 54,... Let n = the term number in the sequence. Let A(n) = the value of the nth term in the sequence. A(1) = 2 = 2 X 3^0 A(2) = 6 = 2 X 3 = 2 X 3^1 A(3) = 18 = 2 X 3 X 3 = 2 X 3^2 A(4) = 54 = 2 X 3 X 3 X 3 = 2 X 3^3 What is

Mathplease check
1. Write a rule for the sequence. 8, 1, 10, 19... A. Start with 8 and add 9 repeatedly B. star with 9 and add 8 repeatedly C. start with 8 and add 9 repeatedly D. start with 8 and subtract 9 repeatedly 3. What is the 7th term in the following

algebra
Find the common difference or ratio in each sequence. Write an algebraic expression for the sequence and find the next three terms. 6. 160, 40, 10, 2.5... 8. 1, 2, 4, 8.... Can you help me find the answers?

Math
Find the next three terms in the sequence 1. 30, 22, 14, 6... 3, 12, 21**** 1, 8, 15 1, 2, 3 2, 10, 18 4. Find the first four terms of the sequence represented by the expression. 4. 3n+5 5,8,11,14 8,11,14,17 3,6,9,12 0,8,11,14 (idk about this

math,algebra
Every Saturday, Justin gets an allowance of $10 from his parents. During every week since Justin began getting an allowance, he spends $8 and saves the remaining $2 of his allowance before he receives his next allowance. The sequence shown represents the

Urgent math
how do I do this can any body show me how? An arithmetic sequence begins 4, 9, 14, 19, 24, . . . . (a) Find the common difference d for this sequence. d = (b) Find a formula for the nth term an of the sequence. an = (c) Find the 35th term of the sequence.

probability
For each one of the following definitions of the state Xk at time k (for k=1,2,…), determine whether the Markov property is satisfied by the sequence X1,X2,…. A fair sixsided die (with sides labelled 1,2,…,6) is rolled repeatedly and independently.

Math
I am doing a practice test and I am stuck on a couple of questions. 1.) Write a rule for the following sequence 8, 1, 10, 19 2.) Find the next three terms of the sequence 2, 12, 72, 432 3.) Which explains why the sequence 81, 3, 1/9 thanks

Math
1. Find the common ratio and 9th term of the sequence 6, 3, 3/2, 3/4, ..... 2. Find the 7th term of the sequence: 2, 6, 18, 54, ..... 3. Find the 11th term of the sequence 1, 1/2, 1/4, 1/8, .....

MATH URGENT ASAP
Find the next three terms in the sequen 1. 30, 22, 14, 6... 3, 12, 21 1, 8, 15 1, 2, 3 2, 10, 18**** 4. Find the first four terms of the sequence represented by the expression. 4. 3n+5 5,8,11,14 8,11,14,17 3,6,9,12 0,8,11,14 (idk about this

Trignometry
A calculator is broken so that the only keys that still work are the \sin, \cos, \tan, \cot, \sin^{1}, \cos^{1}, and \tan^{1} buttons. The display initially shows 0. In this problem, we will prove that given any positive rational number q, show that

Math *URGENT
Please give the answers and solutions for each. 1.If the second term is 2 and the seventh term of a geometric sequence is 64, find the 12th term. 2. Which term if the geometric sequence 18,54,162,486,... is 3,188,646? 3. Determine the geometric mean of 8

math
The first term of a linear sequence is 7.5 and the fourth term is 3.find the number of terms in the sequence if its sum is 9.

Math (fibonacci
A sequence of numbers is called a Fibonaccitype sequence if each number (after for the first two) is the sum of the two numbers which precede it. For example, 1, 1, 2, 3, 5, 8 ... is a Fibonacci type sequence. If 1985, x, y, 200 are four consecutive

Boundedness of a Sequence
Question : How do we prove that the sequence (1+(1/n))^n is bounded? My thoughts on this question : We know that, to prove a sequence is bounded, we should prove that it is both bounded above and bounded below. We can see that all the terms in the sequence

Sj
Mathematics......Under number patternsGeometric series If a question goes.determine the expression for the nth term of the following sequence if the a) 4th term is 24 and the 7th term is 192 in a geometric sequence.what formula do i use here?because i

Maths
the sum of the first ten terms of a linear sequence is 60 and the sum of the first fifteen of the sequence is 165 find the 18th term of the sequence?

algebra
Find the number of terms in each sequence. 1. 2,6, 18,54,,,,,4374 Find the common ratio r and the value of a1 using the information given. (assume r >0) 2.a3=324, a7=64 Find the indicated sum. 3. a1=2, r=3; find s8 4. E like symbol with a 10 on top. On

Math
Hello, I'm trying to find the following sequence that relates to the number of ways that paving stones can be laid to make a 3footwide path using 3foot by 1foot stones. This is a very complex problem, and I'd appreciate a little help to start me off in

MATH MRS. SUE/STEVE
Find the next three terms in the sequen 1. 30, 22, 14, 6... 3, 12, 21 1, 8, 15 1, 2, 3 2, 10, 18**** 4. Find the first four terms of the sequence represented by the expression. 4. 3n+5 5,8,11,14 8,11,14,17 3,6,9,12 0,8,11,14 (idk about this

Math URGENT HELP
Find the next three terms in the sequen 1. 30, 22, 14, 6... 3, 12, 21**** 1, 8, 15 1, 2, 3 2, 10, 18 4. Find the first four terms of the sequence represented by the expression. 4. 3n+5 5,8,11,14 8,11,14,17 3,6,9,12 0,8,11,14 (idk about this

Gr. 12 Data Management
In playing poker, the likelihood of being dealt a particular hand depends on the number of ways in which that hand could have been dealt from the 52card deck. Find the number of ways each hand could be dealt. a) No pairs (five different face values, not

maths
three number form an arithmetric sequence. Their sum is 24. A)If 'a' is the first number and 'd' the common difference, show that a+d=8 B)If the first number is decreased by 1 and the second number by 2, the three numbers then form a geometric sequence.

math
Find the next three terms in the sequence 1. 30, 22, 14, 6... 3, 12, 21**** 1, 8, 15 1, 2, 3 2, 10, 18 4. Find the first four terms of the sequence represented by the expression. 4. 3n+5 5,8,11,14 8,11,14,17 3,6,9,12 0,8,11,14 (idk about this

Math
1. Determine the formula for the nth term of the following sequence: 6, 14, 22, 30, 38, 46, ... I got an = 8n  2 Is that right? 2. The following statement is true by mathematical induction: (4/3)^n > n for all n > or equal to 6 True? 3. To find the 6th

Geometry
Below is a worksheet I have to do for my geometry class. I am not sure about the answers I have given and I have no clue about the ones not answered. Any help will be much appreciated and thank you in advance. A. Determine the number of triangulations for

PreCalc
1) Determine the value of r (put this number in the first blank) and then determine the value of the 10th term of the geometric sequence. Do not use any decimals or mixed numbers in your answers. Reduce all fractions to lowest terms. a1 = 2 and a4 = −1/4

math
Please show steps and give me explanations! Thank you. 1. If x=1/2, what is the value of 1/x+1/x1 ? The answer is 0. 2. The sequence ZWYX may be changed in either two ways. Either two adjacent letters may be interchanged or the entire sequence may be

math30
Sequences 1)A sequence has a first term of 24 and every other term is one half of the previous term. a)Write the first four terms of the sequence. b)Find a recursive formula that defines this sequence. c)Find an explicit formula that defines this sequence.

Algebra
I need some help with algebra as I'm confused as to how to solve them. Find the common difference d and the value of a1 using the information given. 1. a6= 5/4, a8= 9/4 Evaluate each sum. 2. E like symbol that has a 29 on the top. On the bottom n=1 and to

math
We define two numerical operations labelled T and R. The effect of T is to add 1 to a number. For example, if we apply the operation T to the number 2 three times in a row, we obtain 3, then 4, then 5. The effect of R is to find the negative reciprocal of

math
the first number of a sequence is 200. every number of the sequence after the first is 100 less than twice the preceding number. what is the 5th number of the sequence

MATH
the first number of a sequence is 200. every number of the sequence after the first is 100 less than twice the preceding number. what is the 5th number of the sequence

Quick math help
Find the tenth term of the sequence: 6,1,8... Is it 57? For the sequence:2,4,8,16 the value of s4 is____. Is it 8? Find the 7th term of the sequence: 1,2,4,... Is it 64? Which term of this sequence is 275? 5,10,15,... Is it 1357? Find the 7thterm of an.

Quick Math Help
Find the tenth term of the sequence: 6,1,8... Is it 57? For the sequence:2,4,8,16 the value of s4 is____. Is it 8? Find the 7th term of the sequence: 1,2,4,... Is it 64? Which term of this sequence is 275? 5,10,15,... Is it 1357? Find the 7thterm of an.

maths
We define two numerical operations labeled T and R. The effect of T is to add 1 to a number. For example, if we apply the operation T to the number 2 three times in a row, we obtain 3, then 4, then 5. The effect of R is to find the negative reciprocal of a

maths
each of the students in a class writes a dirrerent 2 digit number on the whiteboard. the teacher claims that no matter what the students write, there will be at least three numbers on the whiteboard whose digits have the same sum. what is the smallest

maths! please help me it is an emergency!!!!!!!!!!
what is the fibonacci sequence and what is its relationship to the golden ratio? http://www.google.com/search?q=fibonacci+golden+ratio&start=0&ie=utf8&oe=utf8&client=firefoxa&rls=org.mozilla:enUS:official Many websites here that can help you 

Math
Hello, I can't find a pattern to answer this question, can you help? The beginning of the fibonacci number sequence is listed below: 1,1,2,3,5,8,13,...... What is the smallest term in the sequence which has a value greater than 100?

Math
What numbers can be expressed as an alternatingsum of an increasing sequence of powers of 2 ? To form such a sum, choose a subset of the sequence 1, 2, 4, 8, 16, 32, 64, . . . (these are the powers of 2). List the numbers in that subset in increasing

algebra 2
What is the 20th term of the sequence that begins 3,6,12,24? A. 524,288 B 524,288 C. 1,572,864 d. 3,145,728 The term in a geometric sequence is 160. the 7th term is 40. What are the possible values of the 6th term of the sequence? You roll a standard,

algebra
Margot and Francois were doing their algebra homework when Margot's dog, Pepe, bit off a piece of the paper they were working on. All they had left was a part of the sequence: 6, 12, ... and the fact that 1536 was another term of the sequence. Assuming the

math
I fyou start with 2 and count by 4s until youreach the number 202, you will have the following number sequence. 2, 6, 10, 14...202 If 2 is the first number in the sequence, 6 is the second and so on, what number in the sequence is 202?

Math2
Paula has a mathematical magic trick. She gives the following instructions to her friend Jessica: think of a number  triple it  add 6  divide by 3  add 5  subtract your original number Paula now knows the number Jessica ended up with. 1.) what number

Math
The first three elements of a number sequence are 1, 2, 3. ( As you can see, the middle number is one less than the product of its neighbors. This is true for the rest of the elements of this sequence. Now add the elements of the sequence up to a certain

Stats
Two dice are tossed. What is the probability that the sum of both dice is a prime number? this is the answer i have ; Presuming two fair, 6sided dice, each numbered 1 through 6: You can achieve one of the following results on any given roll: 2, 3, 4, 5,

Statistics
Two dice are tossed. What is the probability that the sum of both dice is a prime number? This is what I have so far Presuming two fair, 6sided dice, each numbered 1 through 6: You can achieve one of the following results on any given roll: 2, 3, 4, 5, 6,

Math
If term 3=15/16, term6= 5/18 and the last term is 40/729, find the number of terms in the sequence if the sequence is geometric

Math
A sequence is formed by adding together the corresponding terms of a geometric sequence and and an arithmetic sequence.The common ratio of the geometric sequence is 2 and the common difference of the arithmetic sequence is 2.The first term of the new

Math  Algebra
An architect is designing a building in the shape of a rectangular pyramid. The number of windows on each floor forms an arithmetic sequence. There are 76 windows on the 7th floor, 68 on the 8th floor, and 4 on the very last floor Find an explicit formula

math
Three numbers in an arithmetic sequence sum to six. If you add 1 to the first number, 2 to the second number, and 5 to the third number, the result will be a geometric sequence. What are the original 3 numbers?

soal
What are some ways to support diversity as it relates to health during midlife.

Math  Arithmetic & Geometric
1) Given the terms a35 = 1238 and a70 = 1483 of an Arithmetic. Find the exact value of the term a105 a sequence and sum of sequence. 2) Given a3 = 99 and a5 = 891 of a Geometric. Find the exact value of the term a7 of the sequence and the sum of sequence.

Math
1. Find all values of p so that 6p, 4p1, p^2  1 will be an arithmetic sequence. 2. The common ration of a geometric sequence is 3. IF the terms of this sequence are 3y, y+6, z+1, ..... respectively, what is the value of z?

MathAnswer included
Five numbers are to be picked, without repetition, from 44 numbers to determine the winner of the Fortune Five game in the state lottery. If the order of the numbers is insignificant, how many different ways can a winning quintuple be selected? What is the

math
What is the rule for this sequence? 72 , 63 , 54 , 45 , 36 Each number in the sequence is 10 less than the previous number. Each number in the sequence is 9 less than the previous number. The sequence decreases by multiples of 9. First by 9, then 18, then

Math
1.Write a rule for the sequence 5,4,13,22 2. Find the next three terms of the sequence 4.8.16.32 3.What is the 9th term in the following sequence 11,17,23,29

geomatry deductive reasoning
a sequence begins 4,1,6,11 find the rule that generates the sequence. Then give the 5oth term is the sequence. What type of reasoning inductive or deductive, do you use when solving this problem?

geomatry deductive reasoning
a sequence begins 4,1,6,11 find the rule that generates the sequence. Then give the 5oth term is the sequence. What type of reasoning inductive or deductive, do you use when solving this problem?

geomatry
a sequence begins 4,1,6,11 find the rule that generates the sequence. Then give the 5oth term is the sequence. What type of reasoning inductive or deductive, do you use when solving this problem?

real analysis
definiton: A set S subsect of real number, sequence {Xn} is called bounded if there is a number M such that X≤ M for all x ∈ S prove the sequence (8+(n/(n+1))) is bounded. my anwser proof: Let Xn = (8+(n/(n+1))) there exist M in real number such

Find the probability
Two marbles are drawn randomly (without replacement) from a bag containing two green, three yellow, and four red marbles. Find the probability of the event. Drawing two red marble step 1  found it! STEP 2: Find the number of ways of choosing two marbles.

MATH
A new sequence is formed by adding together the corresponding terms of a geometric sequence and an arithmetric sequence. the geometric sequence has a common ratio of 3 and the arthmetric sequence has a common difference of 2. The first two terms of the

Math
Consider the sequence 2, 6, 18, 54,... Let n = the term number in the sequence. Let A(n) = the value of the nth term in the sequence. A(1) = 2 = 2 X 3^0 A(2) = 6 = 2 X 3 = 2 X 3^1 A(3) = 18 = 2 X 3 X 3 = 2 X 3^2 A(4) = 54 = 2 X 3 X 3 X 3 = 2 X 3^3 What is

Computer Science  MATLAB
I guess it was skipped One interesting property of a Fibonacci sequence is that the ratio of the values of adjacent members of the sequence approach a number called “the golden ratio” or PHI. Create a program that accepts the first two numbers of a

math for the middle school and elementary teacher
Which one of the following situations a permutation? a) the number of ways 10 people can be lined up in a line for basketball tickets. b) The number of possible four member bowling teams from a family of six siblings. c) The number of ways to choose a

Maths
Eric thinks of 2 sequences.One is geometric and the other arithmetic.Both sequences start with the number 3.The common ratio of the geometric sequence is the same as the common difference of the arithmetic sequence.If the 6th term of the geometric

Math
sequence of numbers 11,28,45.... in which each number is 17 more than its predeccessor. what is the 100th number in sequence.

AP and GP
1) Given the terms a35 = 1238, a70 = 1483 of an AP. Find the exact value of the term a105 a sequence, and sum of sequence. 2) Given the term a3 = 99 and a5 = 891 of GP. Find the exact value of the term a7 of the sequence and the sum of sequence.

algebra
Tree diagrams/ counting principles/ scp question: Two cards are drawn in succesion and with out replacement from a deck of 52 cards. find the following a. the number of ways in which we can obtain the ace of spades and the king of hearts, in that order. b.

using patterns
I am having trouble working on number patterns. I have to find the last three numbers of each pattern: 1)17,16,13,12 2)1,2,4,7 3)1,4,9,16 4.) 8,27,64 please help I don't understand amd my parents are trying their best to help me 4) this is a sequence of

Math
Ok, so my math teacher didn't tell us ways to do this faster, and it's late enough as it is so I don't want to be up all night doing homework. D; *Note: A permutation is where the order matters. A combination is where it doesn't. Find the number of

Discrete Math
I want to verify that this is correct: An arithmetic sequence begins, 116, 109, 102 • Determine whether 480 belongs to this sequence, if it does, what is its term number? 480 = 116 + (n  1)(7) n  1 = 85.142. . . So, that means 480 does not belong

math
Every Saturday, Justin gets an allowance of $10 from his parents. During every week since Justin began getting an allowance, he spends $8 and saves the remaining $2 of his allowance before he receives his next allowance. The sequence shown represents the

Find the common difference or ratio in each..?
Find the common difference or ratio in each sequence. Write an algebraic expression for the sequence and find the next three terms. 6. 160, 40, 10, 2.5... 8. 1, 2, 4, 8.... Can you help me find the answers?

Algebra please help!!
Find the number of terms in each sequence. 1. 2,6, 18,54,,,,,4374 Find the common ratio r and the value of a1 using the information given. (assume r >0) 2.a3=324, a7=64 Find the indicated sum. 3. a1=2, r=3; find s8 4. E like symbol with a 10 on top. On

Algebra please help!!
Find the number of terms in each sequence. 1. 2,6, 18,54,,,,,4374 Find the common ratio r and the value of a1 using the information given. (assume r >0) 2.a3=324, a7=64 Find the indicated sum. 3. a1=2, r=3; find s8 4. E like symbol with a 10 on top. On

Algebra please help!!
Find the number of terms in each sequence. 1. 2,6, 18,54,,,,,4374 Find the common ratio r and the value of a1 using the information given. (assume r >0) 2.a3=324, a7=64 Find the indicated sum. 3. a1=2, r=3; find s8 4. E like symbol with a 10 on top. On

Sequences
Like the Fibonacci sequence, a certain sequence satisfies the recurrence relation an=an−1+an−2. Unlike the Fibonacci sequence, however, the first two terms are a1=4 and a2=1. Find a32.

Algebra ll
Help please, I don't understand how to do this... Give an example of an arithmetic sequence that is found in the real world. Find the common difference and write a recursive and iterative rule for the sequence. Use one of the rules to find another term of

Alg I
Margot and Francois were doing their algebra homework when Margot's dog, Pepe, bit off a piece of the paper they were working on. All they had left was a part of the sequence: 6, 12, ... and the fact that 1536 was another term of the sequence. Assuming the

math master need your help
what is next number in the sequence 12,6,4,3,2,12/5,... and 1,4,15,40,85,156,259,400,585,... also show the sequence scheme,kindly and ur last answer was wrong as 43 it was 49 for 43^2082

algebra
the seventh term of a arithmetic sequence is 72 and the tenth term of the sequence is 90. if the sequence is defined by a formula f(n), then find f(2). How would you do this?