Question

I need help with my homework PLEASE CHECK WHEN DONE

Answer 1

The sequence given is a geometric sequence.

A geometric sequence has the explicit formula in the form:

`\begin{gathered} u(n)=ar^(n-1) \\ where \\ a=first\text{ }term \\ r=common\text{ }ratio \end{gathered}`

and the recursive formula in the form:

`u(n+1)=u(n)* r`

The question provides the following parameters:

`a=u(1)=16`

The recursive formula is given to be:

`u(n+1)=9u(n)`

Therefore, the common ratio is:

`r=9`

Hence, the explicit formula is given to be:

`u(n)=16(9)^(n-1)`

OPTION B is correct.