Question

-2, 4, 10, 16 what’s the nth term for this sequence

Answer 1

22

every term is being added by 6

-2 + 6 = 4

4 + 6 = 10

10 + 6 = 16

16 + 6 = 22

Explanation:

Answer 2

-8 +6n

Explanation:

Explicit rule:

`a_(1) = -2`

d = Common difference = term 2 - term 1

= 4 -(-2) = 4 + 2 = 6

`a_(n)=a_(1)+d*(n-1)\\\\a_(n)=-2 + 6*(n-1)\\\\a_(n)= -2 +6n - 6\\\\\\`

= -2 - 6 + 6n

= -8 + 6n