Question

If the explicit form of a pattern is an = n2 + 2, what are the first four terms? A) -1, 2, 7, 14... B) 2, 3, 6, 11... C) 3, 6, 11, 18... D) 4, 6, 8, 10...

Answer 1

C) 3, 6, 11, 18...

Explanation:

The explicit form of a pattern is :
`a_n = n^2 + 2`

We are supposed to find the first four terms

Substitute n = 1

`a_1=1^2+2=3`

Substitute n =2

`a_2=2^2+2=6`

Substitute n =3

`a_3=3^2+2=11`

Substitute n =4

`a_4=4^2+2=18`

The first four terms are 3,6,11,18

So,option C is true

C) 3, 6, 11, 18...