#### (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) a^{3}, b^{3}, c^{3}

(ii) a^{2} + b^{2}, ab + bc, b^{2} + c^{2}.

**Solution:**

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