Write a formula for the general term (the nth term) of the geometric sequence 4, 12, 36, 108, 324, . . .

duandaTed05 2022-10-23 Answered
Write a formula for the general term (the nth term) of the geometric sequence 4, 12, 36, 108, 324, . . .
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Answers (1)

bibliothecaqz
Answered 2022-10-24 Author has 12 answers
The general term of any geometric sequence ( x n ) is given by
x n = a r n - 1 , where a is the first term and r is the common ratio defined as r = x n + 1 x n .
So in this case a=4 and r = 21 4 = 3
x n = 4 3 n - 1
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