# Arithmetic

math
find the first 3 term s of an arithmetic sequence in which the 21 term is -54 and the fifteenth term is -170

Pre-calculus
The sum of the first two terms of an arithmetic series is 13 and the sum of the four terms is 46. Determine the first six terms of the series and the sum of the first six terms.

Algebra
find the value of p so that p+5, 4p+3, and 8p-2 will from successive terms of an arithmetic sequence, then find the three successive terms.

math
The 1st,5th,13th term of an arithmetic sequence are the first 3 terms of geometric sequence with a common ratio of 2. If the 21st term of the arithmetic sequence is 72, calculate the sum of the first 10 terms of the geometric sequence.

Math
4. Which explains why the sequence 81, 3, 1/9,... is arithmetic or geometric? A)The sequence is arithmetic because it decreases by a factor of 1/27 B)The sequence is geometric because it decreases by a factor of 1/27 C)The sequence is arithmetic because it decreases by a ...

Math Help!!!
identify the sequence as arithmetic, geometric, or neither. explain your answer. 1.6 , 0.8 , 0.4 , 0.2 ....

math
Find the 6th term of the arithmetic sequence given an = (1/5)an-1, given a1 = 20

Math Help!!!
determine whether each sequence is arithmetic or geometric. find the next three terms. 1. 14,19,24,29.... geometric, 34,39,44 arithmetic,32,36,41 arithmetic 34,39,44**** the sequence is nether geometric nor arithmetic 2. -4,8,-16,32.... arithmetic. 64,128,256 geometric -64,128...

Math
Which explains why the sequence 64, 4, 1/4,... is arithmetic or geometric? A. The sequence is geometric because it decreases by a factor of 1/16. B. The sequence is arithmetic because it decreases by a factor of 1/16. C. The sequence is geometric because it decreases by a ...

arithmetic
second term is 8 and fourth term is 14.find the first term and the common difference.

Math
1. A door has a lock with a 5-digit keypad. To unlock the door, a person must enter a passcode consisting of three different digits, with each digit entered in the correct order. What is the probability that a randomly chosen passcode consisting of three different digits ...

The arithmetic progression has first term 4 and last term 34. If the sum of its terms is 247, find the number of terms and their common difference.

Arithmetic Reasoning
A team won 8 of the 24 games it played in one season. What percent of games did it win?

mathematic
determine the arithmetic sequence that has the seventh term equal to 3 and the twelfth term equal to -3

math
32, k 3 , are three consecutive arithmetic terms find k

Math
Is 2, 3, 5, 8, 12 arithmetic, geometric, neither, or both?

For questions 1, 2 identify each sentence as arithmetic, geometric both or neither. 1) 7, 9, 11, 13 ...... A) arithmetic B) geometric C) both D) neither (my answer) 2) 2, 1, 1/2, 1/4, .... A) arithmetic B) geometric C) both (my answer) D) neither

Math
Find the 10th term of a nonconstant arithmetic sequence whose 1st term is 3 with the 1st, 4th, and 13th term forming a geometric sequence. I've tried doing it differently everytime, but I always come to a dead end..

Math
1. The sequence log2 32, log2 y, log2 128, ... forms an arithmetic sequence. What is the value of y? 2. If log a^2 b^3 = x and log (a/b) = y, what are the values of log a and log b?

Math
1. Find all values of p so that 6p, 4p-1, 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?

Algebra
In an arithmetic sequence where a6=13 and a10=25, what is the explicit formula for the general term an?

Arithmetic Progressions
The second term of an arithmetic progression I four times the fits term, and the first term is ten. Find the common difference and hence find the sum of the first 12 terms.

Algebra
What are the first four terms of an arithmetic sequence if the common difference is 1.5 and the first term is 15? 15,30,45,60 15,16.5,18,19.5 15,22.5,33.75,50.625 none of the above What are the first four terms of a geometric sequence if the common ratio is 10 and the first ...

An arithmetic progression has 8terms.The sum of all 8terms is 180 and the sum of all odd terms is 80. Calculate (a)the first term and common difference (b)the last term

Math ASAP
2, 1,1/2 , 1/4 , . .. arithmetic geometric both neither I don't know how to solve it?

math
The third,sixth and seventh terms of a geometric progression(whose common ratio is neither 0 nor 1) are in arithmetic progression. Prove dat d sum of d first three is equal to d fourth term

math
the first term of the arithmetic sequence is -37 and the second term is-30 what is the smallest positive term of the sequence?

math
the first term of the arithmetic sequence is -37 and the second term is-39 what is the smallest positive term of the sequence?

arithmetic
a reguler hexagon is to be cut from a sheet of diameter D.what are width across corners?

Arithmetic
2 numbers, when multiplied by achother, equals(-70) but when added to gether it equates to 3. What are these two numbers?

Math
The 5th term of an arithmetic sequence is 22 and the 15th term is 62. Find the 100th term and the sum of the first 60 terms.

Algebra
The fifth term of an arithmetic sequence is 22 and the 15th term is 62. Find the 100th term and the sum of the first 60 terms

Math
The fifth term of an arithmetic sequence is 22 and the 15th term is 62. Find the 100th term and the sum of the first 60 terms. I'm having trouble figuring out how to do this.

Algebra 2
A large asteroid crashed into a moon of a planet, causing several boulders from the moon to be propelled into space toward the planet. Astronomers were able to measure the speed of one of the projectiles. the distance (in feet) that the projectile traveled each second, ...

mathematics
The sum of the first n term of ab arithmetic series is given by Sn=5/2n^2+7/2n Determine the first term and the common different and the tenth term

pre cal 11
i am stuck at a question that is asking for the common difference, first term, and general term for the arithmetic sequence the question is t10=50 and t27=152 i found my d=6 and t1=(-4) so know my equation is: tn=(-4)+(n-1)6 i had asken my teacher to tell me what the general ...

pre cal 11
hi so i am stuck at this question that is asking about arithmetic sequence . Five fence posts are equally spaced between two corner posts that are 42 meter apart. how far apart are the five fence posts. i know the answer is 7m but i don't know how plus i know the equation for ...

Math 20-1
Determine whether each sequence is geometric, arithmetic, or neither. Justify your answer. (1/5), (1/4), (1/3), (1/2), 1...

arithmetic progressions
how to know whether i should use formulaes in this question or that question becoz i colllapsed and put the formulae to another question

math
The third and fifth term of an arithmetic progression are 10 and-10 respectively. a)Determine the first and the common difference t3 = a + 2d = 10 t5 = a + 4d = -10 -a -2d = -10 a + 4d = -10 2d = -20 d = -10 a + 2(-10) = 10 a -20 = 10 a = 30; d = -2 b)The sum of the first 15 ...

MATH
THE FIRST AND LAST TERMS OF AN ARITHMETIC SERIES IS 5 AND 61 RESPECTIVELY WHILE THE SUM OF ALL THE TERMS IS 957. DETERMINE THE NUMBER OF TERMS IN THE SERIES.

Math

math
The first, the third and the seventh terms of an increasing arithmetic progression are three consecutive terms of a geometric progression. In the first term of the arithmetic progression is 10 find the common difference of the arithmetic progression

math
The sum of the first 10 term of an arithmetic sequence is 145 and the sum of the fourth and ninth term is five times the third term. Determine the first term and constant difference.

math
in an arithmetic sequence the common difference is equal to 2.the first term is also the first term of a geometric sequence. the sum of the first 3 terms of an arithmetic sequence and the sum of the first 9 terms of an arithmetic sequence form the 2nd and 3rd terms of a ...

arithmetic
Determining the first three terms of an ArithmetiC progressionof which the (a.)10th term is 31 and the 15th term is 49 (b.)7th term is 3 and 12th term is -3 (c.)5th term is 8 and the 11th term is -28 (d.)9th term is7+9x and d=2x,Show all calculations

MATH!!
~Determine whether each sequence is arithmetic or geometric fund the next three terms~ *Doing a math unit test and stuck on these five* 1.14,19,24,29.... 2.-2,8,-16,32... 3.81,27,9,3... 4.What are the first four terms of an arithmetric sequence if the common diffrence is 1.5 ...

maths
X,4x+5 and 10x-5 are the first three terms of an arithmetic sequence. Determine the value of X.

math
What is the value of the 30th term in the following arithmetic sequence? 12, 6, 0, -6, ...

Math
In an arithmetic sequence the seventh term exceeds the fourth term by 15 determine the common difference

Trig/Precalc
Two questions that I would really appreciate some hints on: 1) Circles with centers (2,1) and (8,9) have radii 1 and 9, respectively. The equation for a common external tangent can be written in the form y=mx+b with 0<m. What is b? 2) In triangle ABC, AB=BC, and BD is an ...

arithmetic
0.2[5.28-(0.7)=

math
The sum of first 12 terms of an arithmetic series is 186, and the 20th term is 83. What is the sum of first 40 terms?

Arithmetic
The Gardiner dam located 100 km south of Saskatoon is largest earth filled dam in the world. Upon it's opening in 1967, engineers discovered that the pressure from lake deifenbaker had moved the clay based structure 200 cm downstream. Since then, then the dam has been moving ...

Mathematics arithmetic sequence
The sum of second and sixth terms of an arithmetic sequence is 4. The third term is 24 more than eleventh term. So determine the first three terms of the sequence.

MATHEMATICS
THE FIFTH TERM OF AN ARITHMETIC SEQUENCE IS 23 AND THE 12TH TERM IS 72.AND THEY SAY DETERMINE THE FIRST THREE TERMS OF THE SEQUENCE AND NTH TERM

Mathematics
Deternine the formula of the nth term of the sequence if the sum of the second and sixth terms of an arithmetic sequence is 4.the third term is 24 more than the leventh tern

Maths
The first, third and ninth terms of an arithmetic sequence form the terms of a geometric sequence. Find the common ratio of the geometric sequences. a, a+2d, a+8d a+2d/a = a+8d/a+2d ?

mathematics
if the sum of the 6th and 7th terms of an arithmetic progression is 60 and the 3rd term is -5 find the common difference

math
I would need help with example: The three numbers are consecutive terms of arithmetic progression and the sum of their second powers is 126. The first number 3 times smaller, the second number with no change and the third number 4 times greater, are the 3 consequtive terms of ...

math
I would need help with example: The sum of three consecutive terms of geometric progression is 9. The first number with no change, the second number plus 12 and the third number minus 3, are the 3 consequtive terms of arithmetic progression. What are the values of original 3 ...

math
Find first term and common difference of arithmetic sequence whose 13th them is 159 and 20th is 264.

math
An arithmetic series consists of five terms; the second term is 7 and the last term is 22. write out the full series.

Maths
An arithmetic series consists of five terms; the second term is 7 and the last term is 22. write out the full series.

Math
what is the 15th term of an arithmetic sequence in which the third term is 1985 and the eighth term in 2015?

math
the ninth term of an arithmetic progression is 52ind the and the sum of the first twelve terms is 414.find the first term and the common difference.

Maths
If the 6th term of an arithmetic sequence is 48, and the sum of the first 6 terms is 300, what is the first term and the constant different?

Maths
If the 6th term of an arithmetic sequence is 48, and the sum of the first 6 terms is 300, what is the first term and the constant difference?

ALGEBRA
if the 6th term of an arithmetic sequence is 48, and the sum of the first 6 term is 300, what is the first term and the constant difference? Pls help as I have never learn this before,need some example to start with.thank you

Helppp
IF A is the median of {1,2,3...,10}, and B is the median of 1,2,3,4,...11, what is the average (arithmetic mean) of A and B? Express your answer as a decimal? "{}" is no different from B

Math
Is the sequence arithmetic? 15, 14.5, 14, 13.5, 13,....If so, give the common difference.

Math
Let a1,a2,......a10 be an arithmetic sequence. If a1+a3+a5+a7+a9=17 and a2+a4+a6+a8+a10=15 then find a1.

Math
Penn writes a 2013-term arithmetic sequence of positive integers, and Teller writes a different 2013-term arithmetic sequence of integers. Teller's first term is the negative of Penn's first term. Each then finds the sum of terms in his sequence. If their sums are equal, then ...

Math
Penn writes a 2013-term arithmetic sequence of positive integers, and Teller writes a different 2013-term arithmetic sequence of integers. Teller's first term is the negative of Penn's first term. Each then finds the sum of terms in his sequence. If their sums are equal, then ...

Math
Problem 6: Let a1,a2,.........a10 be an arithmetic sequence. If a1+a3+a5+a7+a9=17 and a2+a4+a6+a8+a10=15, then find a1.

Algebra
Let a1,a2,a3..... be an increasing arithmetic sequence of integers. If a4a5=13 what is a3a6?

Algebra
Solve for x>0 in the following arithmetic sequence 1^2,x^2,3^2.....

Algebra
The fifth term of an arithmetic sequence is 11. If the difference between two consecutive terms is 1, what is the product of the first two terms?

Algebra
The second and ninth terms of an arithmetic sequence are 2 and 30 respectively. What is the fiftieth term.

calculous (check)
If air resistance is neglected, a falling object travels 13 ft during the first second, 39 ft during the next, 65 ft during the next, and so on. These distances form the arithmetic sequence 13, 39, 65, ... .In this sequence, a(subscript)1 = 13 d equals 26. Find a formula for f...

Sequences
An arithmetic sequence has first term of 6 and difference of 8; what is the tenth term? a10(subscript 10) = ?

Mathematics
Insert three arithmetic mean and solve the nth term of 1 and 2

problem solving
What rectangular regions could be enclosed? Areas? Organize a table? Make a graph? Which rectangular region has the most area? from a table? from a graph? from algebra, using the arithmetic mean-geometric mean inequality?

Algebra
Please help me to to solve this quadratic equation word problem. Here is the question: The Abacus. The Chinese abacus consists of a frame, parallel wires, and beads that are moved to perform arithmetic computations. The frame is 21 Centimeters longer than it is high, which is ...

precal Arithmetic progression
The fifth term of an arithmetic series is 12 and the eighth term is 3. Find the sum of the first 6 terms and also of the first 11 terms. T5=a+4d=12 T8=a+7d=3 -3d=9 d=-3

Alg !
What is the sum of the first 4 terms of the arithmetic sequence in which the 6th term is 8 and the 10th term is 13?

math
8,18,28,38,48 what is the next term? i came up with 10 am i correct? is this consider arithmetic or geometric?

Find the mean and the median in the following arithmetic sequences: A: 1, 3, 5, 7, 9 B: 1, 3, 5, 7, 9, . . . ., 199 C: 7, 10, 13, 16, . . ., 607

arithmetic
In Jullian's garden, there are 3 rows of carrots, 2 rows of string beans,and 1 row of peas. There are 8 plants in each row. How many plants are there in all?

arithmetic
the clock at the capitol building has an hour hand that is 12 feet long.how many feet will the top of the hand move between the hours of the midnight and 8am?

arithmetic
How do I solve 15x=75?

arithmetic
If you spent 85% of your money and have only \$75.00 left, how much money did you start with?

Arithmetic Progression
the sum of the first and second terms of ap is 4 and the tenth term is 19. find the sum of the 5th and 6th

arithmetic
the 20th sum of an arithmetic progression is -7 and the sum of the first 20 terms is 620. find the 1st and 30th terms i am looking at using S20 = a(1-rn)/l-r = 620. but i am reallys tuck and think i am very wrong. please help.

arithmetic
if the internal diameter of a cylindrical iron piep is 2.8 cm . If the pipe is melted uniformly by 1 mm then it formed a cylindrical rod ,find the diameter of the new rod?

arithmetic
If you have 3 cups of pineapple juice and, how many total cups of punch can you make? Table: Ginger Ale - 40% OJ 25% Pineapple juice 20% Sorbet 15

math
A 20-year-old student decided to set aside \$100 on his 21st birthday for investment. Each subsequent year through his 55th birthday, he plans to increase the investment on a \$100 arithmetic gradient. He will not set aside additional money after his 55th birth- day. If the ...

Economics
A 20-year-old student decided to set aside \$100 on his 21st birthday for investment. Each subsequent year through his 55th birthday, he plans to increase the investment on a \$100 arithmetic gradient. He will not set aside additional money after his 55th birth- day. If the ...

Algebra
Define a#b as the arithmetic mean of a and b. What is the value of ((1#2)#2)#4? Express your answer as a common fraction. The hashtag is just a sign. Thank you!

math
What is the d value of the following arithmetic sequence? 5, 2, -1, -4, -7,… A. 3 B. -3 C. 4 D. -4