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MakcuM [25]
3 years ago
5

The fourth term of a sequence is 108. Each term after the first is 3 times the previous term. Write an explicit expression that

models the general term of the sequence f(n). Write your answer in the space provided on your answer document.
Mathematics
1 answer:
marishachu [46]3 years ago
8 0

Answer:

f(n)=4(3)^{n-1}

Step-by-step explanation:

Let the first term be x, then the terms of the sequence are:

x,3x,9x,27x,81x,....

Since the fourth term is 108, we have

27x=108

\implies x=4

Hence the sequence becomes:

4,12,36,108,324,....

The explicit expression for a geometric expression is given by:

f(n)=ar^{n-1}

where a=4 and r=3

The required formula is:

f(n)=4(3)^{n-1}

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