Question

Let a₁ = 0 and a₁, a₂, a₃,...............a_n be real numbers such that |a_i| = |a_i–1 + 1| for all i, then the A.M. of the numbers a₁, a₂, a₃ ................ an has the value A where

(a) \(A < \frac{-1}2\)

(b) A < –1

(c)  \(A \ge \frac{-1}2\)

(d) \(A = \frac{-1}2\)

Answer 1

Correct option is (c)  \(A \ge \frac{-1}2\)