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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asked Aug 27, 2023 92.1k views

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

Mathematics
high-school

Pradeep Deshmukh asked

by Pradeep Deshmukh

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1 Answer

14 votes

Answer:

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

Explanation:

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

Redorav answered Sep 2, 2023

by Redorav

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