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The third term of a G.P. is 4, the product of the first five terms is ______.

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Question

The third term of a G.P. is 4, the product of the first five terms is ______.

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Solution

The third term of a G.P. is 4, the product of the first five terms is (4)5.

Explanation:

Given T3 = 4

∴ ar2 = 4  .....(i)

Product of first five terms = a · ar · ar2 · ar3 · ar4

= a5r10

= (ar2)5

= (4)5   ......[From equation (i)]

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Chapter 9: Sequences and Series - Exercise [Page 164]

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NCERT Exemplar Mathematics Exemplar [English] Class 11
Chapter 9 Sequences and Series
Exercise | Q 29 | Page 164

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