The sum of the 3rd and 7th terms of an A.P. is 38, and the 9th term is 37. Find the A.P.

Question

asked Jul 23, 2022 216k views

1 Answer

Jabba Da Hoot · Answer 1 · 2022-07-29T21:29:29+0000

Answer:

The AP is 1, 11/2, 10, 29/2, 19, ....

Explanation:

Let the first term be a and d be the common difference of the arithmetic progression.

ATQ, a+2d+a+6d=38, 2a+8d=38 and a+8d=37. Solving this, we will get a=1 and d=9/2. The AP is 1, 11/2, 10, 29/2, 19, ....