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Aleksandr [31]
3 years ago
14

The table below represents a geometric sequence.

Mathematics
1 answer:
UkoKoshka [18]3 years ago
5 0

Answer:

B. f(1)=4

f(n)=5\cdot f(n-1), n\ge2

Step-by-step explanation:

From the table the first term of the geometric sequence is:

f(1)=4

We can use the first term and the second term to determine the common rtaio.

The common ratio is

r=\frac{20}{4}=5

Note that, we could have also used the 3rd and second term to find the common ratio.

The recursive formula is given by:

f(n)=r\cdot f(n-1)

We plug in the common ratio to get:

f(n)=5\cdot f(n-1)

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