Question

-2, 5, 12, 19,... write the recursive rule for each sequence

Answer 1

-2+7=5
5+7=12
12+7=19 so,
7n-9

Answer 2

a(1) = -2< -------the 1st term is -2

 

recursive formula:  a(n) = a(n-1) + 7) < --- adding 7  to the previous term

 

a(2) = a(1) + 7 = (-2) + 7  = 5

a(3) = a(2) + 7 = 5 + 7  = 12

a(4) = a(3) + 7 = 12 + 7  = 19