English

Three terms are in G.P., whose product is 27. The middle term is ______.

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Question

Three terms are in G.P., whose product is 27. The middle term is ______.

Options

  • −3

  • 3

  • −3 and 3

  • −3 or 3

MCQ
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Solution

Three terms are in G.P., whose product is 27. The middle term is 3.

Explanation:

Let three terms be `a/r`, a and ar.

Given,

Product of three terms = 27

∴ `a/r`× a × ar = 27

⇒ a3 = 33

⇒ a = 3

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Chapter 11: Geometric Progression - TEST YOURSELF [Page 155]

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Selina Concise Mathematics [English] Class 10 ICSE
Chapter 11 Geometric Progression
TEST YOURSELF | Q 1. (d) | Page 155
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