Find a formula for the nth term of the geometric sequence: 8, 12, 18, 27, ...

Ashleigh Clarke 2022-10-15 Answered
Find a formula for the nth term of the geometric sequence: 8, 12, 18, 27, ...
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Answers (1)

bibliothecaqz
Answered 2022-10-16 Author has 12 answers
The formula for nth term of geometric sequence is a 1 q n - 1 , where a 1 is the 1st term and q is the quotient of this sequence (check for n=1).
To find quotien q we must divide any term by its previous one - result will be the same (it's geometric sequence definition).
q = a k a k - 1 = a 2 a 1 = 12 8 = 3 2 for any k>1.
Moreover
12 8 = 18 12 = 27 18 = ...
so the sequence is geometric indeed.
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