Question

Find k so that k – 1, k, k + 2 are consecutive terms of a G.P.

Answer 1

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