The 4th term of an exponential sequence is 108 and the common ratio is 3. Calculate the value of the eighth term of the sequence.

Step-by-step explanation:

Since the sequence is a geometric sequence

For an nth term in a geometric sequence

where

a is the first term

r is the common ratio

n is the number of terms

To find the eighth term we must first find the first term

4th term = 108

common ratio = 3

That's

Divide both sides by 27

For the eighth term

The final answer is

Hope this helps you

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