If a, b, c are in G.P., prove that the following are also in G.P. : (i – InterviewSolution

1.

If a, b, c are in G.P., prove that the following are also in G.P. : (i) a2,b2,c2 (ii) a3,b3,c3 (iii) a2+b2,ab+bc,b2+c2

Answer»

If a, b, c are in G.P., prove that the following are also in G.P. :

(i) $a^{2}, b^{2}, c^{2}$

(ii) $a^{3}, b^{3}, c^{3}$

(iii) $a^{2} + b^{2}, a b + b c, b^{2} + c^{2}$

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