If x = Σa^n for n are 0 to infinity, y = Σb^n for n are 0 to infinity, z = Σc^n for n are 0 to infinity

Question 1

If x = Σan for n are 0 to infinity, y = Σbn for n are 0 to infinity, z = Σcn for n are 0 to infinity, where a, b and c are in AP and |a| < 1, |b| < 1, |c| < 1, then x, y and z are in

(a) HP

(b) Arithmetic geometric progression

(c) AP

(d) GP

Question 2

Correct option (a) HP

Explanation:

If x = Σa^n for n are 0 to infinity, y = Σb^n for n are 0 to infinity, z = Σc^n for n are 0 to infinity

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If x = Σa^n for n are 0 to infinity, y = Σb^n for n are 0 to infinity, z = Σc^n for n are 0 to infinity

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