the arithmetic sequence ai is defined by the formula: a1= 2 ai= ai - 1 -3 find the sum of the first 335 terms in the sequence

Given:

In an arithmetic sequence,

To find:

The sum of the first 335 terms in the given sequence.

Solution:

The recursive formula of an arithmetic sequence is:

        ...(i)

Where, d is the common difference.

We have,

         ...(ii)

On comparing (i) and (ii), we get

The sum of first i terms of an arithmetic sequence is:

Putting , we get

On further simplification, we get

Therefore, the sum of the first 335 terms in the given sequence is -167165.

the answer is d

step-by-step explanation: