Question

How do you write the first five terms of the sequence `3n^2+4` using the nth term rule?

Answer 1

7 , 16 , 31 , 52 , 79

Explanation:

`3n^2 + 4 " is the nth term rule "`

To generate the terms in the sequence , substitute in appropriate values for n and evaluate.

Here use n = 1,2,3,4,5 .

`n = 1 : 3(1)^2 + 4 = 3 + 4 = 7`

`n = 2 : 3(2)^2 + 4 = 12 + 4 = 16`

`n = 3 : 3(3)^2 + 4 = 27 + 4 = 31`

I'm sure you can manage the last 2 yourself.