How do you find the next three terms in the geometric sequence 9, -3, 1, , ... ?

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How do you find the next three terms in the geometric sequence 9, -3, 1, , ... ?

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Answer 1 · 2016-04-24T03:14:14

$-1/3,1/9,-1/27$

Explanation:

This is a GP series having first term $a=9$
and common ratio $r=-3/9=-1/3$
So
multiplying 3rd term 1 by $-1/3$ we get 4th term $1xx(-1/3)=-1/3$
multiplying 4th term $-1/3$ by $-1/3$ we get 5th term $-1/3xx(-1/3)=1/9$
and similarly the 6th term $1/9xx(-1/3)=-1/27$

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How do you find the next three terms in the geometric sequence 9, -3, 1, , ... ?

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