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If (a+b x)/(a-b x)=(b+c x)/(b-c x)=(c+d ...

If `(a+b x)/(a-b x)=(b+c x)/(b-c x)=(c+d x)/(c-d x)(x ne 0)`, then show that `a, b, c` and `d` are in G.P.

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V PUBLICATION-SEQUENCES AND SERIES-QUESTIONBANK
  1. A G.P consists of an even number of terms. If the sum of all the term...

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  2. The sum of the first four terms of an A.Pis 56. The sum of the last fo...

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  3. If (a+b x)/(a-b x)=(b+c x)/(b-c x)=(c+d x)/(c-d x)(x ne 0), then show ...

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  4. Let S be the sum, P, the product and R the sum of reciprocals of n ter...

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  5. The p^ (th) , q^ (th) and r^ (th) terms of an A.P. are a, b, c respe...

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  6. If a (1/b+1/c), b(1/c+1/a), c(1/a+1/b) are in A.P. Prove that a, b, c ...

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  7. If a, b, c, d are in G.P. Prove that (a^n+b^n),(b^n+c^n),(c^n+d^n) are...

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  8. If a and b are the roots of x^2-3 x+p=0 and c and d are roots of x^2-1...

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  9. If A and G be A. M and G. M respectively between two positive numbers....

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

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

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

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

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

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  16. 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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  17. A farmer buys a used tractor for Rs. 12,000. He pays Rs. 6000 cash and...

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  18. Shamshad Ali buys a scooter for Rs. 22000. He pays Rs. 4000 cash and a...

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  19. A person writes a letter to four of his friends. He asks each one of t...

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  20. A man deposited Rs. 10000 in a bank at the rate of 5 % simple interest...

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