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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

Select ALL The Correct AnswersConsider The Geometric Sequence BelowSelect All Functions That Define The Given Sequence4 6 9 272 812 class=

Sagot :

Given:

The geometric series

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

Required:

Choose the correct option.

Explanation:

The given series is:

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

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

[tex]a_n=ar^{n-1}[/tex]

Where a = first term and r = common ratio

From the given series

a = -4

[tex]\begin{gathered} r=\frac{-6}{-4} \\ r=\frac{3}{2} \end{gathered}[/tex]

Thus the nth term is:

[tex]f(n)=-4(\frac{3}{2})^{n-1}\text{ where n =2,3,4,.....}[/tex]

Final Answer:

[tex][/tex]

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