For the following geometric sequence find the recursive formula and the 5th term in the sequence. in your final answer, include all of your work. {-4, 12, -36, }

The nth term for the geometric sequence is given by:

where,

is the first term

r is the common ratio term

n is the number of terms.

Given the sequence:

-4, 12, -36,......

This is a geometric sequence with   and  

Since,

,

ans so on...

Substitute this in [1] we have;

Substitute n = 5 we have;

⇒

Recursive formula for the geometric sequence is given by:

Substitute the given values we have;

Therefore, the recursive formula and the 5th term in the sequence is,

;

if the pizza is divided equally into 2 equal halves then you would get

πr^2/2

where r is the radius of the pizza.

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