Verified Solution • 2025–26 Session moderate

QJEEM07Ma9477: JEE Main 2007 Mathematics - Class 11 JEEM07Ma9477 Solution: In a geometric progression consisting of positive terms, each…

In a geometric progression consisting of positive terms, each term equals the sum of the next two terns. Then the common ratio of its progression is equals

Multiple Choice Options

  • A 5
  • B 12(5−1)
  • C 12(1−5)
  • D 125

Step-by-Step Verified Solution

Let the series a,ar, ar2,........ are in geometric progression.

given, a=ar+ar2

⇒1=r+r2

⇒r2+r−1=0

⇒r=−1∓1−4×−12

⇒r=−1±52

⇒r=5−12

[ As terms of G.P. are positive

∴ r should be positive]

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