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Question
Identify the following sequence is in G.P.?
3, 9, 27, 81, …
Sum
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Solution
3, 9, 27, 81, …
r = Common ratio
r = `("t"_2)/("t"_1) = ("t"_3)/("t"_2)` in G.P.
Here `("t"_2)/("t"_1) = 9/3` = 3
`("t"_3)/("t"_2) = 27/9` = 3
∴ It is a G.P.
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