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If a, b, c are in A.P, b, c, d are in G....

If `a, b, c` are in A.P, `b, c, d` are in G.P. and `1/c , 1/d,1/e` are in `A. P`. Prove that `a, c, e` are in G.P.

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V PUBLICATION-SEQUENCES AND SERIES-QUESTIONBANK
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  2. If A and G be A. M and G. M respectively between two positive numbers....

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  3. If a, b, c are in A.P, b, c, d are in G.P. and 1/c , 1/d,1/e are in A....

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  4. Find the sum to n terms of the series: 5+55+555+………..

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  5. Find the 20^( th) term of the series 2 xx 4+4 xx 6+6 xx 8+. . .,+ n t...

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  6. Find the sum of the first n terms of the series : 3+7+13+21+31+. . .

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  7. If S1, S2, S3 are the sum of first n natural numbers, their squares an...

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  8. Find the sum to n terms of the series: (1^3)/(1)+(1^3+2^3)/(1+3) + ...

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  9. Show that (1 xx 2^2+2 xx 3^2+. .+n xx(n+1)^2)/(1^2 xx 2+2^2 xx 3+. .+n...

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  19. Find the 20^( th) term of the series 2 xx 4+4 xx 6+6 xx 8+. . .,+ n t...

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