English

The third term of G.P. is 4. The product of its first 5 terms is ______.

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Question

The third term of G.P. is 4. The product of its first 5 terms is ______.

Options

  • 43 

  • 44 

  • 45 

  • None of these

MCQ
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Solution

The third term of G.P. is 4. The product of its first 5 terms is 45.

Explanation:

Given that T3 = 4

⇒ ar3–1 = 4

⇒ ar2 = 4

Product of first 5 terms = a · ar · ar2 · ar3 · ar4

= a5r10

= (ar2)5

= (4)5 

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Chapter 9: Sequences and Series - Exercise [Page 163]

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NCERT Exemplar Mathematics Exemplar [English] Class 11
Chapter 9 Sequences and Series
Exercise | Q 18 | Page 163

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