If S1,S2,S3 be respectively the sums of n, 2n, 3n terms of a G.p., the

1.	If S1,S2,S3 be respectively the sums of n, 2n, 3n terms of a G.p., then prove S21+S22=S1(S2+S3).
Answer» If $S_{1}, S_{2}, S_{3}$ be respectively the sums of n, 2n, 3n terms of a G.p., then prove $S_{1}^{2} + S_{2}^{2} = S_{1} (S_{2} + S_{3})$ .

If S1,S2,S3 be respectively the sums of n, 2n, 3n terms of a G.p., then prove S21+S22=S1(S2+S3).

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If $S_{1}, S_{2}, S_{3}$ be respectively the sums of n, 2n, 3n terms of a G.p., then prove $S_{1}^{2} + S_{2}^{2} = S_{1} (S_{2} + S_{3})$ .

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If S1,S2,S3 be respectively the sums of n, 2n, 3n terms of a G.p., then prove S21+S22=S1(S2+S3).

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