Question

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

Answer 1

Answer:

22

every term is being added by 6

-2 + 6 = 4

4 + 6 = 10

10 + 6 = 16

16 + 6 = 22

Step-by-step explanation:

Answer 2

Answer:

-8 +6n

Step-by-step 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