MathDB

2017 preRMO p5, u, v,w in geometric progression, u^{40} = v^n = w^{60},

Source:

August 9, 2019

geometric sequencegeometric progressionalgebraexponential

Problem Statement

Let

u, v,w

be real numbers in geometric progression such that

u > v > w

. Suppose

u^{40} = v^n = w^{60}

. Find the value of

n