The sum of the first 15 terms of an arithmetic sequence is 480. Find the 8th term of the sequence.

Given:

The sum of the first 15 terms of an arithmetic sequence is 480.

To find:

The 8th term of the sequence.

Solution:

We have,

We know that, the nth term of an AP is

Where, a is the first term and d is the common difference.

Putting n=8, we get the 8th term of the sequence.

The sum of first n terms is

Where, a is the first term and d is the common difference.

Divide both sides by 15.

Therefore, the 8th term of the arithmetic sequence is 32.

triangle and cube

step-by-step explanation: