SOLUTION: the sequence is 1/6,1,6,36. how do i find the explicit formula? what is the explicit formula?

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Question 385518: the sequence is 1/6,1,6,36. how do i find the explicit formula? what is the explicit formula?
Found 2 solutions by ewatrrr, stanbon:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi,
sequence: 1/6,1,6,36
Note: Writing an explicit formula for a geometric sequence always requires
knowing the first term and the common ratio.
a%5Bn%5D+=+a%5B1%5D%2Ar%5E%28n-1%29
In this sequence the common ratio is 6.
a%5Bn%5D+=+%281%2F6%29%2A6%5E%28n-1%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the sequence is 1/6,1,6,36. how do i find the explicit formula? what is the explicit formula?
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Find the pattern for the nth term:
1---1/6
2---(1/6)*6
3---(1/6)*6^2
4---(1/6)*6^3
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n---(1/6)*6^(n-1)
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Explicit Formula: a(n) = (1/6)*6^(n-1) or 6^(n-2)
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Cheers,
Stan H.