If the 5th term of the geometric sequence is 162 and the ratio is 3, then the first term of the sequence is
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You don't even need to find the common ratio, and it doesn't matter if it's negative. The fifth term is the third term multiplied by the common ratio squared. And the same relationship applies to the first and the third terms. So if the common p² 162
ratio is r,
18 9 = 2.
The series is 2, 6, 18, 54, 162, 486,.... But if you drop the condition that r> 0, the series could be 2, -6, 18, -54, 162, -486,....
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