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

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

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. If (a^n+b^n)/(a^(n-1)+b^(n-1)) is the A.M. between a and b, then find ...

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  2. The first and second terms of a G.P. are x^(-4) and x^n , respectively...

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  3. If (a+b x)/(a-b x)=(b+c x)/(b-c x)=(c+dx)/(c-dx)(x!=0), then show t...

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  4. If n arithmetic means are inserted between 2 and 38, then the sum of t...

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  5. The first terms of  a G.P. is 1. The sum of the third and fifth ter...

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  6. If a ,b ,c ,d ,e ,f are A.M.s between 2 and 12, then find the sum a+b+...

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  7. Three positive numbers from an increasing G.P. If the middle term in t...

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  8. Divide 28 into four parts in an A.P. so that the ratio of the product ...

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  9. The fourth, seventh, and the last term of a G.P. are 10, 80, and 2560,...

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  10. If (b-c)^2,(c-a)^2,(a-b)^2 are in A.P., then prove that 1/(b-c),1/(c-a...

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  11. If a ,b ,c,d are in G.P. prove that (a^n+b^n),(b^n+c^n),(c^n+d^n) ar...

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  12. Let Sn denote the sum of first n terms of an A.P. If S(2n)=3Sn , then ...

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  13. If p ,q ,a n dr are inA.P., show that the pth, qth, and rth terms of a...

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  14. Find four number in an A.P. whose sum is 20 and sum of their squares i...

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  15. Find the sum of the following series : 0. 7+0. 77+0. 777+ ton term...

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  16. Find the sum of the series 1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+1/(6^2+4)+oo

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  17. Prove that in a sequence of numbers 49,4489,444889,44448889 in which e...

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  18. Find the sum of first 100 terms of the series whose general term is ...

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  19. If the continued product o three numbers in a G.P. is 216 and the sum ...

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  20. Find the sum of the series 2/(1xx2)+5/(2xx3)xx2+(10)/(3xx4)xx2^2+(17)/...

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