Question

Select ALL the correct answers.Consider the geometric sequence below.Select all functions that define the given sequence-4, -6, -9, -27/2, -81/2

Answer 1

Given:

The geometric series

-4, -6, -9, -27/2, -81/2

Required:

Choose the correct option.

Step-by-step explanation:

The given series is:

-4, -6, -9, -27/2, -81/2

The nth term of the geometric series is given by the formula:

`a_n=ar^(n-1)`

Where a = first term and r = common ratio

From the given series

a = -4

`\begin{gathered} r=(-6)/(-4) \\ r=(3)/(2) \end{gathered}`

Thus the nth term is:

`f(n)=-4((3)/(2))^(n-1)\text{ where n =2,3,4,.....}`

Final Answer: