Question

A. The first five terms of n^2 + 5 are

Answer 1

Given:

The nth term of a sequence is:

`n^2+5`

To find:

The first five terms of the given sequence.

Solution:

The given sequence is:

`a_n=n^2+5`

For n=1,

`a_1=1^2+5`

`a_1=1+5`

`a_1=6`

For n=2,

`a_2=2^2+5`

`a_2=4+5`

`a_2=9`

For n=3,

`a_3=3^2+5`

`a_3=9+5`

`a_3=14`

For n=4,

`a_4=4^2+5`

`a_4=16+5`

`a_4=21`

For n=5,

`a_5=5^2+5`

`a_5=25+5`

`a_5=30`

Therefore, the first five terms of the given sequence are 6, 9, 14, 21, 30.