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Question
Verify whether the following sequence is G.P. If so, write tn:
7, 14, 21, 28, ...
Solution
7, 14, 21, 28, ...
t1 = 7, t2 14, t3 = 21, t4 = 28, ...
Here, `"t"_2/"t"_1 = 2, "t"_3/"t"_2 = 3/2, "t"_4/"t"_3 = 4/3`
Since, `"t"_2/"t"_1 ≠ "t"_3/"t"_2 ≠ "t"_4/"t"_3`
∴ the given sequence is not a geometric progression.
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