Question

Question is below help needed

Answer 1

The common ratio of both the formulas is 3 and 2. The first formula is explicit and the second is the recursive formula.

What is the recursive rule?

A rule is defined such that its definition includes itself.

1.

The given sequence is

-2, -6, -18, -54

Common ratio ;

r = -6 / -2 = 3

$a _ n =-2 (3) ^{n-1}$

This given formula is the explicit formula.

2.

The given sequence is

4, 8, 16, 32

Common ratio ;

r = 8 / 4 = 2

$a_n = a_{n-1}.2\\\\a _1 = 4$

This given formula is the recursive formula.

Learn more about the recursive rule and explicit rules here:

brainly.com/question/12620593

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