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Question
Find k so that k – 1, k, k + 2 are consecutive terms of a G.P.
Solution
Since k – 1, k, k + 2 are consecutive terms of a G.P.
∴ `"k"/("k" - 1) = ("k" + 2)/"k"`
∴ k2 = k2 + k – 2
∴ k – 2 = 0
∴ k = 2
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