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You are here: Home / GRE Quant / Arithmetic / Arithmetic and Geometric Progressions

Arithmetic and Geometric Progressions

October 5, 2012 By K S Baskar Leave a Comment

The second, the first and the third term of an A.P whose common difference is non zero form a G.P in that order. Find its common ratio.
Answer: -2
Explanation:
Let the terms in GP be a, ar, ar2.
Hence the terms ar, a and ar2 are in AP.
Therefore, a – ar = ar2– a
‘a’ cannot be 0. Hence, 1 – r = r2 – 1
r2 + r -2 = 0
(r + 2)(r – 1) = 0
Now r cannot be ‘1’ since common difference should be non-zero. Hence r = -2.

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Filed Under: Arithmetic Tagged With: GRE Problem Solving, GRE Progressions, GRE Sequences

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