Question

The question is in the pic! I think I have the first two right, but I need help with the bottom ones.

Answer 1

see explanation

Explanation:

A recursive rule, is a rule that allows a term in the sequence to be found by multiplying the preceding term by the common ratio (r)

here r = 3 , then with
`a_(n)` being a term and
`a_(n-1)` , the preceding term, then

`a_(n)` = 3
`a_(n-1)`

3

the explicit rule allows any term in the sequence to be found

the explicit rule for a geometric sequence is

`a_(n)` = a₁
`(r)^(n-1)`

a₁ is the first term, r the common ratio , n the term number

here a₁ = 2 and r = 3 , then explicit rule is

`a_(n)` = 2
`(3)^(n-1)`