Question

If the sum of the first n terms of sequence is (2n^2)+3, find the first two terms of the sequence

Answer 1

5, 6

Explanation:

Given the sum to n terms is

`S_(n)` = 2n² + 3, then

`S_(1)` = 2(1)² + 3 = 2 + 3 = 5 ⇒
`a_(1)` = 5

`S_(2)` = 2(2)² + 3 = 8 + 3 = 11

⇒
`a_(2)` = 11 - 5 = 6