# 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.

1. 👍
2. 👎
3. 👁
1. "The 3rd term of an Arithmetic Progression is 10 more than the first term" ----> a+2d = a+10
2d=10
d = 5
"the 7th term is seven times the first term"
--> a+6d = 7a
6d = 6a
a= d = 5

sum of 8ht and 15th terms
= a+7d + a + 14d
= 2a + 21d
= 10 + 105 = 115

1. 👍
2. 👎
2. Eternity is real!!! don't be deceive Jesus is coming soon, GIVE HIM YOUR LIFE NOW SO THAT YOU WON'T CRY HAD I KNOW AT LAST. JESUS LOVES YOU AND HE WANT YOUR SOUL REDEEM, please give him a chance now, say this Jesus please come into my life now and be my everything in Jesus name. Amen, please from now live that life that befits repentance God bless You. That first post is answer to the question.

1. 👍
2. 👎

## Similar Questions

1. ### 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.

2. ### geometric progression

the 3rd term of a gpis 10 and the 6th term is 80 find the common ratio No2 if the 2nd term of a gp is 4 and the 5th term is 1over 16,the7th term is_

3. ### Maths

b.Find the seventeenth term of an Arithmetic Progression, whose 9th and 15th term are 19 and 37 respectively.

4. ### Mathematics

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

1. ### Utech

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

2. ### Math

The 9th term of an arithmetic progression is three times the 5th term, find the relationship between the first term and common difference

3. ### Math,science

The 5th term of an arithmetic progression is 23 and the 12th term is 37.find the third term and common different

4. ### 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.

1. ### math

If 6 times the sixth term of an arithmetic progression is equal to 9 times the 9th term, find the 15th term.

2. ### 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.

3. ### maths

in an arithmetic progression the fifth term is 34 and the fifteenth term is 9.Which term in this progression is -6

4. ### Mathematics

The 10th term of an arithmetic progression is _27 and 5th term is _12 ,what is the 18th term ?find also the sum of its 25 term