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.