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Check whether the following sequence is G.P. If so, write tn. 7, 14, 21, 28, …

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Question

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

7, 14, 21, 28, …

Sum
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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`

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

∴ the sequence is not a Geometric progression.

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

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