If the 2^nd, 5^th and 9^th terms of a non-constant arithmetic progression are in geometric progression, then the common ratio of this geometric…

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If the 2^nd, 5^th and 9^th terms of a non-constant arithmetic progression are in geometric progression, then the common ratio of this geometric progression is

MARKS Content Team · Accepted Answer

Correct answer: (D) 4/3. Let the A.P. be a, a+d, a+2d, ..... Given, a+d.a+8d=a+4d^2 a^2+9ad+8d^2=a^2+8ad+16d^2 8d^2-ad=0 d8d-a=0 ∵ d ≠0 d=a/8 So, 2^nd term, 5^th term, 9^th term would be a+a/8, a+a/2, a+a 9a/8, 3a/2, 2a Common Ratio =(2^nd term)/(1^st term)=(3a×8)/(2×9a) =4/3

If the $2^{n d}, 5^{t h}$ and $9^{t h}$ terms of a non-constant arithmetic progression are in geometric progression, then the common ratio of this geometric progression is

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More Sequences and Series Questions

If the 2nd, 5th and 9th terms of a non-constant arithmetic progression are in geometric progression, then the common ratio of this geometric progression is

Solution

More Sequences and Series Questions

If the $2^{n d}, 5^{t h}$ and $9^{t h}$ terms of a non-constant arithmetic progression are in geometric progression, then the common ratio of this geometric progression is