If are in G.P

MATHEMATICS · Subjective · A Level · Mathematics · Sequences and series · Sequences and series

Problem

8. If

a, b, c, d

are in G.P, prove that

\left(a^{n}+b^{n}\right),\left(b^{n}+c^{n}\right),\left(c^{n}+d^{n}\right)

are in G.P.