Question

Select the sequence that matches the recursive formula.

a1 - 3

an = 3an-1


..., -9,-27,-81...


...,34,29,24...


...,-27,1,-243...


...,-8.3,-7.4,-6.5...

Answer 1

next three terms of the sequence is

-9, -27, -81...............

Explanation:

Given that a1=-3

`a_n=3a_(n-1)`

first term is -3, lets find out next term

To find next term we take n=2

n=2,
`a_2=3a_(1)=3(-3)=-9`

n=3,
`a_3=3a_(2)=3(-9)=-27`

n=4,
`a_4=3a_(3)=3(-27)=-81`

So next three terms of the sequence is

-9, -27, -81...............