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Check whether the following sequence is G.P. If so, write tn. 3, 4, 5, 6, …

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Question

Check whether the following sequence is G.P. If so, write tn.

3, 4, 5, 6, …

Sum
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Solution

Here, t1 = 3, t2 = 4, t3 = 5, t4 = 6, ...

∴ `"t"_2/"t"_1 = 4/3, "t"_3/"t"_2 = 5/4, "t"_4/"t"_3 = 6/5`

∵ `"t"_2/"t"_1 ≠ "t"_3/"t"_2 ≠ "t"_4/"t"_3`

∴ given sequence is not a geometric progression.

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Chapter 2: Sequences and Series - Exercise 2.1 [Page 27]

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