SOLUTION: Find the fifth term of a geometric sequence in which the fourth term is 4, the sixth term is 6 and the common ratio is negative

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Question 966099: Find the fifth term of a geometric sequence in which the fourth term is 4, the sixth term is 6 and the common ratio is negative
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
t1, t2, t3, 4, t5, 6, ...
Excuse the lack of subscripting.

You want common ration r to be r%3C0.
4%2Ar%5E2=6
2r%5E2=3
r%5E2=3%2F2
r%5E2=6%2F4
highlight%28r=0%2B-+sqrt%286%29%2F2%29
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You wanted the negative result: highlight%28highlight%28r=-sqrt%286%29%2F2%29%29




The addition of 0 is only to help in rendering.