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Dmitriy789 [7]
3 years ago
14

Which value is the 14th term of the sequence

Mathematics
1 answer:
guapka [62]3 years ago
7 0
This is a geometric sequence because it has a common ratio, denoted r, meaning that each term is a multiple of the previous term.

a(n)=ar^{n-1}, a=initial term, r=common ratio, n=term number

In this case a=1 \over 81 and r=3 (because each term is 3 time the previous term) so

a(n)=(1/81)*3^{n-1}

So the 14th term is:

a(14)=(1/81)*3^{14}=59049


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