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.

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer