If pn+1 = √ 1/2(1 + pn), then cos(√1-p0^2/p1,p2,p3,.....∞) is equal to

Question

If \(p_{n+1} = \sqrt{\frac 12(1+ p_n)}\), then \(cos\left(\frac{\sqrt{1 - {p_0}^2}}{p_1p_2p_3,...\infty}\right)\) is equal to

(a) 1

(b) –1

(c) p₀

(d) 1/p₀

Answer 1

Correct option is (c) p₀