# Arithmetic

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

math
Find the first arithmetic mean between 100 and 135 given the following sequence: ..., 100, ___, ___, ___, ___, 135, ... A. 107 B. 114 C. 121 D. 128

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
What function represents the arithmetic sequence 3,7,11,15?

Algebra
What is the 9th term of the arithmetic sequence defined by the rule below? A(n)=-14+(n-1) (2)

arithmetic
The minute hand on a clock is 49mm long. What area does it pass over in 30 minutes.

arithmetic
The minute hand on a clock is 19mm long.What area does it pass over in 30 seconds.

arithmetic
A set of 7 numbers has a mean of 9. What additional number must be included in this set to create a new set with a mean that is 3 less than the mean of the original set?

maths
the first term of arithmetic progression is -8 .and the ratio of the 7th and the 9th term is 5 :8 .find the common difference.

arithmetic
what is the perimeter of a lions cage which is 12mlong and 5.5 wide

arithmetic
if sheila has 5 times as much as dave and the total number is 18. how much does sheila have

arithmetic
if A and B ARE MOVING IN a circular track of length 0.32miles from the start line whose speed are 7 miles per hour and 9 miles per hour respectively ,then after how many seconds will they meet for the first time?

arithmetic
Jodi is cutting out pieces of paper that measure 8.5 inches by 11 inches from a larger sheet of paper that has an area of 1000 square inches. What is the area of each piece of paper that Jodi is cutting out?

algebra
suppose that an employee receives 7% increase in salary each year and that sequence a^n models the employees salary after n years. Is this sequence arithmetic, geometric or neither ? and please explain

arithmetic
vanessa buys a strip pf 25 postage stamps. The strip of stamps is 21 7/8 inches long. How long is a strip after one stamp is used.

math
Write the first six terms of the arithmetic sequence with the given properties. a = 3, d = 2 a. 3,8,13,18,23,28 b. 3,5,7,9,11,13 c. 3,6,8,10,12,14 d. 2,7,12,17,22,27 e. 2,4,6,8,10,12

Pre-Calculus/Trigonometry
For the sequence an = 4n + 5: find: the first five terms: find the sum of the first 25 terms: is it a arithmetic sequence? If so how can you tell, if not, why not?

Pre-Calculus/Trigonometry
give an example of an arithmetic sequence also give an example of a system of equations with no solutions

PROGRAMMING
1. Make a C program that will input two integers and then to enter an option as follows: • 1 = to add the two integers. • 2 = to subtract the second integer from the first. • 3 = to multiply the integers • 4 = to divide the first integer by the second integer. Display ...

math
Find the sum of the first 60 terms of the arithmetic sequence whose first term is −15 and whose common difference is 7.

arithmetic
1700 lottery tickets are sold for \$25 each, and one grand prize of \$4100 is awarded. If you purchase one ticket, find your expectation per ticket

Math
What is a1 if a33 is equal to -2p and a74 = 26p? Our topic is arithmetic series and sequence. Thanks.

Algebra
What is a1 if a33 is equal to -2p and a74 = 26p? Our topic is arithmetic series and sequence. Thanks.

Math
For each arithmetic sequence, determine a) the value of t1 and d (2 marks) b) an explicit formula for the general term (2 marks) c) t20 (2 marks) 3a, 3a – 2b, 3a – 4b, 3a – 6b, …

Math
For each arithmetic sequence, determine a) the value of t1 and d (2 marks) b) an explicit formula for the general term (2 marks) c) t20 (2 marks) 7/4, 1, 1/4, -1/2

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

Math
The sum of the first two terms of an arithmetic series is 15 and the sum of the next two terms is 43. What are the first four terms of the series?

Math
Etienne owns a small recycling company that picks up empty glass bottles from restaurants. At the first restaurant, he picks up 50 bottles. At each restaurant after this, he picks up 4 more bottles than he picked up at the restaurant before. Assume that this pattern continues...

Math
An explicit formula for the general term for the arithmetic sequence 7/4,1, 1/4, -1/2?

Math
Consider the arithmetic series 7 + 19 + 31 + 43 + 55 + pr004-1.jpg. a) How many terms are less than 1000? (3 marks - show your work) b) How many terms are less than 2000? (3 marks - show your work)

Algebra
True or False 1. – 5, – 5, – 5, – 5, – 5, … is an arithmetic sequence. 2. In an arithmetic sequence, it is possible that the 13th term is equal to its 53rd term. 3. In an arithmetic sequence, the common difference is computed by subtracting the first term from the ...

arithmetic
Amy is building a house .the basement floor is at -15feet. the roof of the house is above the ground 25 feet. express the comparison of heights as an equality . explain the meaning of the inequality

arithmetic
find the square root 83456

math
Add the odd numbers divisible by 3 lying between 200 and 400.is arithmetic or geometric progression.

Algerbra 2
Arithmetic sequence 4,7,10,13 How do you do it.

maths
The difference between the second and fourth terms of an arithmetic sequence is 3. If the product of the first and fourth term is 34, calculate the value of the first term.

Algebra 2
Is this sequence arithmetic, geometric, or neither? 3,10,31...

Algebra 2
Is this sequence arithmetic,geometric, or neither? -111,2.5,115.5

math
A student worked V hours on Monday W hours on Tuesday X hours on Wednesday Y hours on Thursday and Z hours on Friday. What is the average (arithmetic mean)

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