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Question
Verify whether the following sequence is G.P. If so, write tn:
3, 4, 5, 6, ...
Solution
3, 4, 5, 6, ...
t1 = 3, t2 = 4, t3 = 5, t4 = 6, ...
Here, `"t"_2/"t"_1 = 4/3, "t"_3/"t"_2 = 5/4, "t"_4/"t"_3 = 6/5`
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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