3 years ago

Can someone help me out

Mathematics

1 answer:

kvasek [131]3 years ago

3 0

It equals 5? The markings means it’s equal right?

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

marishachu [46]

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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