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The first term of GP is …

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The first term of GP is 1 .the sum ofthe third and fifth term is 90. Find the common ratio of GP
  • 1 answers

Yogita Ingle 5 years, 9 months ago

Let first term be a = 1; and common ratio = d;
Then,
      ad² + a d^{4} = 90
=> d4 + d² - 90 = 0
=> d4 + 10d² - 9d² - 90 = 0
=> (d² - 9) (d² + 10) = 0
=> d² = 9     {Neglecting -10}
=> d = ±3 Hence, the common ratio is ±3.....

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