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Verify whether the following sequence is G.P. If so, write tn: 3, 4, 5, 6, ... - Mathematics and Statistics

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Question

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

3, 4, 5, 6, ...

Sum
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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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Chapter 4: Sequences and Series - EXERCISE 4.1 [Page 50]

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