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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’ … [Read more...] about Arithmetic and Geometric Progressions