# arithmetic progression, the 8th term is twice the 4th term and the 20th term is 40. Find the common difference and the sum of the terms

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### Maths

1) In the arithmetic progression, the 8th term is twice the 4th term and the 20th term is 40. Find the common difference and the sum of the terms from the 8th to the 20th term inclusive. 2) Find the least number of terms of the AP, 1+3+5...that are required to make a sum ...

### math

if 4th term of an arithmetic progression is 3 times the 1st term nd 7th term exceeds twice the third term by 1. find the first term and common difference

### Arithmetic Progression

In an AP the 6th term is half the 4th term and the 3rd term is 15. a. Find the fist term and the common difference. b. How many times are needed to give a sum that is less than 65?

### math

The 3rd term of an Arithmetic Progression is 10 more than the first term while the fifth term is 15 more than the second term. Find the sum of the 8th and 15th terms of the Arithmetic Progression if the 7th term is seven times the first term.

### arithmetic

in an arithmetic progression the 13th term is 27 and the 7th term is three times the second term find;the common difference,the first term and the sum of the first ten terms

### Maths

1..The first 2 terms of a geometric progression are the same as the first two terms of an arithmetic progression.The first term is 12 and is greater than the second term.The sum of the first 3 terms od the arithmetic progression is 4/3 less than the sum of the first 3 terms of...

### maths

1) The first term of arithmetic progression is -20 and the sum of it's term is 250. find it's last term if the number of it's terms is 10 2) Find the fifth term from the arithmetic progression -12, -9, -6 hence find the sum of it's first fifty terms. 3) The sum of the first ...

### arithmetic

THE SUM OF THE 2ND AND 5TH TERMS OF AN A.P IS 42. IF THE DIFFERENCE BETWEEN THE 6TH AND 3RD TERM IS 12, FIND THE: COMMON DIFFERENCE, 1ST TERM, 20TH TERM.

### Precalculus

The 8th term in an arithmetic sequence is 5, and the sum of the first 10 terms is 20. Find the common difference and the first term of the sequence. Alright so in an arithmetic squence the difference d between any two successive numbers is constant. So if the first term is x, ...

### Utech

The 9th term of an Arithmetic Progression is 8 and the 4th term is 20. Find the first term and the common difference.

if the 2nd term and the 4th term of an arithmetic progression are 15 and 23 respectively, find the first term and the common difference

### kumasi polytechnic

In A.P the difference between the 8th term and 4th term is 20,and the 8th term is one and half times the 4th term.Find the common difference, and the first term.

### 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.

### arithmetic

an arithmetic progression has 20 terms. the sum of all the even terms is 350. given that the first term is 5, find the common difference and the eleventh term.

### Math

The fifth term of an arithmetic progression is 19 and the fourteenth term is 15. Find the, first term, common difference, and sum of the first eighty terms.

### arithmetic

In an arithmetic progression the sum of the first 10 terms is 50 and the 5th is three times the second term. Find the fisrt term and the common difference.

### pchs mankon

A man make 20 deposit into an account which is set to be in an arithmetic progression if the 11 term is twice the 15 term and the first term is 10000frs a) fine the common difference b) the 11 term

### AP calculus

The sixth term of an Arithmetic Progression is 23 and the sum of the six terms is 78. Find the first term and the common difference.

### Math

the sum of the 4th term and the 5th term is 12.if the 4th term of the progression is 8, find the common ratio and the 1st term of the progression.

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.

### math

The second term of an arithmetic progression is 8 and the eleventh term is -10 Find the first term, the common differrnce and sum to 15 terms

### Math

The fifth term of an arithmetic progression is three times the second term,and the third term is 10.a)What is the first term,b)the common difference and c)the 15th term?

### math

1) If the sum of the first n terms of a series is Sn where Sn=2n²-n, (a)prove that the series is an AP, stating the first term and the common difference; (b)find the sum of the terms from the 3rd to the 12th inclusive 2) In an AP the 6th term is half the 4th term and the 3rd ...

### Math

1) If the sum of the first n terms of a series is Sn where Sn=2n²-n, (a)prove that the series is an AP, stating the first term and the common difference; (b)find the sum of the terms from the 3rd to the 12th inclusive 2) In an AP the 6th term is half the 4th term and the 3rd ...

### arithmetic progression

the 9th term of an AP is 52 while the 12th term is 70. find the sum of it's 20th term?

### FURTHER MATHS

The 8th term of a linear sequence is 18 and 12th term is 26.find the first term,common difference and 20th term

### Mathematics

If the 8th term of an AP is 36 and the 16th term is 68. Find: a) the first term b) the common difference c) The 20th term

### Math

In an arithmetic progression, the 5th term is six times the 1st term and the sum of the first six terms is 99. Find the 1st term and the common difference. Attempt at solution: U5 = 6(U1) 99 = 3(2[U1] + 2d)

### ahisco

In an A.P the difference between the 8th term and 4th term is 20 and the 8th term is 1half timesthe fourth term. what is the common difference and the first term of the sequence

### Further maths

The 8th term of a linear sequence is 18th and the 12th term is 26th .find the first term,common difference and the 20th term

### math

the fourth term of an arithmetic progression is equal to 3 times the first term and the seventh term exceeds twice the third term by 1 find the first term and the common differrence

### math

An arithmetic progression as the same first and second terms as the geometric progression. Find the sum of the first 20 terms of the arithmetic progression. How do I do this? I tried to find the common ratio for G.P. and then substitute it to find the 20th term but, still have...

### Maths (srithematic progression)

If the 4th term of an A.P is twice the 8th term, prove that the 10th term is twice the 11th term.

### algebra

If an A.p. Fifth term exceeds twice second term by 1. The tenth term xeceeds twice fourth term by 3 * find first term and common difference * find sum of first twenty-five terms.

### math C2 sequences and series

The eight,fourth and second terms of an arithmetic progression form the first three terms of a geometric series. The arithmetic progression has first term A and common difference d, and the geometric progression has first term G and common ratio r. a)Given that d is not equal ...

### Math

The third term of a geometric progression of positive terms is 18 and the fifth term is 162 Find the common ration and the first term? Write an expression for the Nth term of the progression? Find the sum of the first 8 terms of the progression??

### math

The third term of a G.P is 24 and the sum of the first two terms is 288. If all the terms are positive,find a)the first term and the common ratio b)the sum of all the terms from 4th term to the 8th term

### math

Given that the sum of the first 20 terms of an arithmetic sequence is 1150 and the fifth term is twice the second term . find: 1.The first term and the common difference 2. find the general formula

### Mathematics

The 25 term of an Arithmetic Progression is 7 1/2 and the sum of the first 23 terms is 98 1/2. Find the i. 1st term ii. common difference iii. sum of the first 30 terms

### maths

An arithmetic series has first term 5 and a common difference 7 a) write down the 4th term and the 23rd term b) find the sum of the first 38 terms of this series.

### 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.

### arithmetic sequence

the 40th term of an arithmetic sequence is equal to the sum of the 20th and 31st term. if the common difference of the sequence is-10. find the first term.

### algebra

The fifth term of an A.P exceeds twice the second term by 1.The tenth term exceeds twice the fourth term by 3. Find:1.the first term. 2.the common difference. 3.the sum of first twenty five terms.

### Mathematics

The 3rd and 8th term of an arithmetic progression A.P are -9 and 26.what their common difference nd first term?

### arithmetic progression

An arithmetic progression has 3 as its first term. Also, the sum of the first 8 terms is twice the sum of the first 5 terms. Find the common difference.

### AP Calculus

The 9th term of an arithmetic progression is 4+5p and the sum of the four terms of the progression is 7p-10, where p is a constant. Given that common difference of the progression is 5, find the value of p.

### math

in an arithmetic progression the 50th term is equal to 3, and the sum of the first 8th is equal to 23. find the first term and the common difference

### arithmetic

Each term of a progression is determined by adding 0.5 to the preceding term. the sum of the first 25 terms of the progression equals the square of the 25th term. calculate the possible value(s) of the first term

### MATH

Find the value of A + B if the A is the first term and B is the common difference of the sequence whose 4th term is 3 and 20th term is 35

### algbebra

The fifth term of an A.p. Exceeds the second term by 1.The tenth term exceeds twice the fourth term by 3 * find first term and common difference * sum of first twenty-five terms.

### mathematics

the 10th term of an arithmetic sequence is equal to the sum of 40 and 5th term.If the 15th term is 127 what is its common difference?what is its first term?what is the sum of the first 30 terms.

### mathematics

1.1 the third term of an arithmetic sequence is 8 and the 15 term is 44 . Calculate: 1.1 the common difference and first term. 1.2 the sum of the first 50 terms. 1.2 1;4;7;10.... Is an arithmetic sequence .find: 1.2.1 the 30 term.

### 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 ...

### math

The first term of an arithmetic sequence is 2.The 12th term in the progression is 9 times bigger than the 2nd term. Find the common difference d.

### maths

The thirteenth term of an arithmetic progrssion os 27 and the seventh term is three timees the second term. tind the first term,common difference and the sum of the first ten terms

### maths

The thirteenth term of an arithmetic progrssion os 27 and the seventh term is three timees the second term. tind the first term,common difference and the sum of the first ten terms

### src

the 4th term of an arithmetic progression is 27 and the sum of the 1st and 4th term is 42. What is the third term

### math

In an arithmetic series the 3rd term is twice the 8th term. Find the sum of the first 25 terms.

### arithmetic

The 8th term of an A P is 5times the third term while the 7th term is 9 greater than the 4th term.what are the first five term

### arithmetic

the sum of the 3rd and the 4th term is 44 and the sum of the 10th and the 15th term is 203. what is the sum up to the 20th term?

### maths

find the 20th term of an arithmetic progression whose 6th term is 3 and 14th term is 19

### maths

find the 20th term of an arithmetic progression whose 6th term is 3 and 14th term is 19

### Arithmatic Progression

The sum of the first 5 terms of an AP is 40 and the 7th term is equal to 4 times the second term, find the first term (a), common difference (d) and the sum of the second five terms.

### 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

### maths

the sum of the 4th and 6th terms of an A.P is 42. the sum of the 3rd and 9th terms of the progression is 52. find the first term, the common difference and the sum of the first ten terms of the progression.

### maths

An arithmetic progression has 10 terms. Sum of the 10 terms is 220. Sum of the odd terms is 100. Find the first term and common difference. pl give me the answer. maths - Steve Monday, July 17, 2017 at 12:11pm 10/2 (2a+9d) = 220 5/2 (2a+4*2d) = 100 maths - kumar yesterday at ...

### GP Caluculus

The third term of a geometric progression is 16. The sum of the third term and the fouth term is 8. Find (a)the first term and the common ration of the progression (b)the sum of infinity of the progression

### GP Caluculus

The third term of a geometric progression is 16. The sum of the third term and the fouth term is 8. Find (a)the first term and the common ration of the progression (b)the sum of infinity of the progression

### GP Caluculus

The third term of a geometric progression is 16. The sum of the third term and the fourth term is 8.Find (a)the first term and the common ratio of the progression. (b)the sum of infinity of the progression.

### math

in an ap the difference is between the 8th and 4th term is 20 and the 8th term is one and the half times the fourth term what is the common difference

### Math

An arithmetic progression has 10 terms. Sum of the 10 terms is 220. Sum of the odd terms is 100. Find the first term and common difference.

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

### maths

An arithmetic progression has 10 terms. Sum of the 10 terms is 220. Sum of the odd terms is 100. Find the first term and common difference. pl give me the answer.

### math

An arithmetic progression has 2 as its first term. find its common difference if the sum of 33 terms is equal to six times the sum of 13 terms

### Maths

The 4th term of an AP is 6 if d sum of d 8th and 9th term is -72 the common difference is

### Mathematics : Arithmetic Sequence

The 5th term and the 8th term of an arithmetic sequence are 18 and 27 respctively. a)Find the 1st term and the common difference of the arithmetic sequence. b)Find the general term of the arithmetic sequence.

### Arithmetic Sequence

Given the third term of an arithmetic sequence less than the fourth term by three. The seventh term is two times the fifth term. Find the common difference and the first term.

### 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

### Precalc

Find a formula for the nth term if... a)the 8th term is 8 and the 20th term is 44 b) the 8th term is 4 and the 18th term is -96 thanks!! I am just confused how you do this if you don't know what n is.

### arithmetic

1. The first and last term of an A.P are, a and l respectively, show that the sum of nth term from the beginning and nth term from the end is a + l. 2. If mth term of an A.P be 1/n and nth term be 1/m, then show that its mnth term is 1. 3. The sum of four numbers which are in ...

### arithmetic

1. The first and last term of an A.P are, a and l respectively, show that the sum of nth term from the beginning and nth term from the end is a + l. 2. If mth term of an A.P be 1/n and nth term be 1/m, then show that its mnth term is 1. 3. The sum of four numbers which are in ...

### Math.

The 4th term of the arithmetic progression is15 and the9th term is 35 find the 15th term.

### c\$s college

the first term of an arithmetic progression is 3 and the fifth term is is 9.find the number of terms in the progression if the last term is 81

### arithmetic progression

given that the first term of an Ap is 7 and its 10th term is twice the second term calculate the 19th term.

### mathenatic

The sum of sixth term of a.p is 72 and the second term is seven times fifth term find the first term,common difference and the sum of tenth term

### Maths - Arithmetic Progression

The fourth term of an AP is 8 and the sum of the first ten terms is 40. Find the first term and the tenth term.

### math

The 4th term of an Ap is 6. if the sum of the 8th and 9th terms is -72,find the common difference

### Math ( Can You check my Work?)

1.an = 3n - 1 2. an = 2(2n - 3) 3.an = 4^n 4.an = (2/3)^n 5. an = (-1)^n(n + 5) 6. an = (-1)^n + 1(n + 6) 7. an= n+3/2n-1 8. a1 = -5 and an = an-1 - 3 for n ≥ 2 9. a1 = -6 and an = -2an-1 for n ≥ 2 10.a1 = 4 and an = 3an-1 + 2 for n ≥ 2 11. Find a8 when a1...

### Math

the thirteenth term of an arythmeticprogression is 27. given that the seventh term equals to three times the second term, find: the first term nd the common difference of the progression

### Community technical college

Given that 1st term of an A.P is 7 and it's 10th term is twice the second term,calculate the (a) 19th term (b)sum of 28 terms (c) difference between 9th and 6th terms

### 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

### algebra

if 1, 2, 7 and 20, respectively, are added to the first terms of an arithmetic progression, a geometric progression of four terms is obtained. find the first term and common difference of the arithmetic progression the answers are both 3 .. but i don't know the solution, ...

### Maths

The second term of arithmetic progression is 15 and the fifth term is 21 find the common difference with solutions

### Maths

The 5th term of an arithmetic progression is 3times of 2nd term and 12th term exceeds 2times of 6th term by 1. Find the 16th term

### Maths

The 5th term of an arithmetic progression is 3times of 2nd term and 12th term exceeds 2times of 6th term by 1. Find the 16th term

### Maths

The 5th term of an arithmetic progression is 3times of 2nd term and 12th term exceeds 2times of 6th term by 1. Find the 16th term

### 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.

### Math - Arithmetic Sequences

The sum of the 4th and the 14th term of an arithmetic sequence equals 22. The 9th term is 4 larger than the 4th term. Calculate the first term of the sequence. I've been trying to solve this for like an hour but I just can't figure out how to do it! I'd really appreciate your ...

### maths

the sum of first 8 terms of an arithmetic progression is 156.the ratio of its 12th term to its 68th term is 1:5.calculate the first term and the fifteenth term. please help this questions please.

### maths

the sum of 8th term in an a.p is 150 while the sum of 20th term is 880.find the 43rd term and the sum of the 12term