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Given the following geometric sequence: 1,3,9,27,81,... Write an explicit formula that describes this sequence. Using the formula, find the 18th term of the sequence

Given the following geometric sequence: 1,3,9,27,81,... Write an explicit formula that describes this sequence. Using the formula, find the 18th term of the sequence
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18 votes
Given the following geometric sequence: 1,3,9,27,81,...

Write an explicit formula that describes this sequence.
Using the formula, find the 18th term of the sequence

User Pradeep Deshmukh
by
7.9k points

1 Answer

14 votes

Answer:

The 18th term of the geometric sequence is
a_(18)=129140163

Explanation:


a_n=a_1(r)^(n-1)\\\\a_(18)=1(3)^(18-1)\\\\a_(18)=3^(17)\\\\a_(18)=129140163

User Redorav
by
8.5k points
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