If a, b, c are in G.P. show that (1/a), (1/b), (1/c) are also in G.P.

(i) If a, b, c are in G.P. show that are also in G.P.
(ii) If K is any positive real number and K^a, K^b K^c is three consecutive terms of a G.P., prove that a, b, c are three consecutive terms of an A.P.
(iii) If p, q, r are in A.P., show that pth, qth and rth terms of any G.P. are themselves in GP.

Solution:

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

Solution:

More Solutions:

• Evaluate the geometric Progression.
• Find the sum of the series.
• Find the sum of the following series to n terms:
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