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If a, b, c are in G.P., then prove that ...

If a, b, c are in G.P., then prove that `(1)/(a^(2)-b^(2))-(1)/(b^(2)-c^(2))=-(1)/(b^(2))`.
[Hint : Put b = ar, `c = ar^(2)`]

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CBSE COMPLEMENTARY MATERIAL-SEQUENCES AND SERIES -SECTION-D (LONG ANSWER TYPE QUESTIONS )
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  8. The sum of an infinite GP is 57 and the sum of their cubes is 9747. Fi...

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  13. Find the sum of the series 1-3/2+5/4-7/8+9/16..........oo

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  14. In the sum of first n terms of an A.P. is cn^2, then the sum of square...

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  15. Let pa n dq be the roots of the equation x^2-2x+A=0 and let ra n ds be...

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  16. If S(1), S(2), S(3),...,S(n) are the sums of infinite geometric series...

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  17. If the m th, n th and p th terms of an AP and GP are equal and are x ,...

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  18. The sum of an infinite GP is 57 and the sum of their cubes is 9747. Fi...

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  19. Find three numbers in G.P. whose sum is 13 and the sum of whose square...

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