मराठी

If n AM's are inserted between 1 and 31 and ratio of 7th and (n – 1)th A.M. is 5:9, then n equals ______. -

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प्रश्न

If n AM's are inserted between 1 and 31 and ratio of 7th and (n – 1)th A.M. is 5:9, then n equals ______.

पर्याय

  • 12

  • 13

  • 14

  • 15

MCQ
रिकाम्या जागा भरा

उत्तर

If n AM's are inserted between 1 and 31 and ratio of 7th and (n – 1)th A.M. is 5:9, then n equals 14.

Explanation:

d = `30/(n + 1)`

∵ `(1 + 7d)/(1 + (n - 1)d) = 5/9`

⇒ `(1 + 7  30/(n + 1))/(1 + (n - 1) 30/(n + 1)) = 5/9`

Solving we get

146n = 2044

⇒ n = 14

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