Question

What are the first five terms of the sequence? `a_n=n^2+2`

Answer 1

Shown below

Explanation:

For the first few terms, plug in each of the values of `n`

`a_1 = 1^2 + 2 = 3`

`a_2 = 2^2 +2 = 4+2 = 6`

`a_3 = 3^2 + 2 = 9+2 = 11`

`a_4 = 4^2 + 2 = 16 + 2 = 18`

`a_5 = 5^2 + 2 = 25 + 2 = 27`

Hence first five terms are:

`3,6,11,18,27`

Answer 2

`3,6,11,18,27`

Explanation:

`"to obtain the terms substitute "n=1,2,3,4,5" into "a_n`

`a_1=1^2+2=1+2=3`

`a_2=2^2+2=4+2=6`

`a_3=3^2+2=9+2==11`

`a_4=4^2+2=16+2=18`

`a_5=5^2+2=25+2=27`