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If a,b,c are in G.P., then the equations...

If a,b,c are in G.P., then the equations `ax^2+2bx+c =0` and `dx^2+2ex+f =0` have a common root if d/a,e/b,f/c are in

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
  1. If a,b,c are in GP, Prove that, a(b^2+c^2) =c(a^2+b^2)

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  2. If l n(a+c),l n(a-c) and l n(a-2b+c) are in A.P., then (a) a ,b ,c ...

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  3. If a,b,c are in G.P., then the equations ax^2+2bx+c =0 and dx^2+2ex+f ...

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  4. Sum of the first n terms of the series 1/2+3/4+7/8+(15)/(16)+............

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  5. The third term of a geometric progression is 4. Then the product of t...

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  6. In triangle ABC medians AD and CE are drawn, if AD=5, angleDAC= pi/8 a...

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  7. If tk is the kth term of a G.P., then show that t(n - k), tn, t(n + k)...

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  8. If pth, qth, and rth term of an AP are equal to corresponding terms of...

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  9. Sum of 1/(sqrt(2)+sqrt(5))+1/(sqrt(5)+sqrt(8))+1/(sqrt(8)+sqrt(11))+1/...

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  10. If fourth term of an HP is 3/5 and its 8th term is 1/3 , then find it...

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  11. If a,b, c are in GP, Prove that a^2, b^2 , c^2 are in GP.

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  12. If a ,b ,c are in A.P., the a/(b c),1/c ,1/b will be in a. A.P b. G.P....

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  13. If (p^2+q^2), (pq+qr), (q^2+r^2) are in GP then Prove that p, q, r are...

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  14. The coefficient of the quadratic equation a x^2+(a+d)x+(a+2d)=0 are co...

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  15. Let S denote sum of the series 3/(2^3)+4/(2^4 .3)+5/(2^6 .3)+6/(2^7 .5...

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  16. Let the sum of first three terms of G.P. with real terms be 13/12 and ...

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  17. Given a,b,c are in A.P.,b,c,d are in G.P and c,d,e are in H.P .If a=2 ...

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  18. The terms a1,a2,a3 form an arithmetic sequence whose sum is 18.The ter...

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  19. Let f(x)=2x+1. Then the number of real number of real values of x for ...

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  20. Concentric circles of radii 1,2,3,. . . . ,100 c m are drawn. The inte...

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