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The number of positive integral ordered ...

The number of positive integral ordered pairs of `(a ,b)` such that `6,a ,b` are in harmonic progression is _________.

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. The positive integer n for which 2xx2^2+3xx2^3+4xx2^4+......+nxx2^n=2...

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  2. If tn denotes the nth term of the series 2+3+6+11+18+...then t(50)...

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  3. The number of positive integral ordered pairs of (a ,b) such that 6,a ...

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  4. Let a ,b >0, let 5a-b ,2a+b ,a+2b be in A.P. and (b+1)^2, a b+1,(a-1)^...

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  5. The difference between the sum of the first k terms of the series ...

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  6. The value of the sum(n=0)^oo(2n+3)/(3^n) is equal to.

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  7. If the roots of 10 x^3-n x^2-54 x-27=0 are in harmonic progression...

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  8. The 5th and 8th terms of a geometric sequence of real numbers are 7! ...

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  9. Let a ,b ,c ,d be four distinct real numbers in A.P. Then the smallest...

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  10. Let a1, a2, a3, ,a(101) are in G.P. with a(101)=25a n dsum(i=1)^(201)...

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  11. Let S=sum(n=1)^(9999)1/((sqrt(n)+sqrt(n+1)) (^4sqrt(n)+^4sqrt(n+1)) , ...

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  12. If the sum of the first 14 terms of an AP is 1050 and its first term i...

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  13. The next term of the G.P. x ,x^2+2,a n dx^3+10 is (729)/(16) b. 6 c. 0...

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  14. If x^2+9y^2+25 z^2=x y z((15)/x+5/y+3/z),t h e n x ,y ,a n dz are ...

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  15. If the sum of n terms of an A.P. is given by Sn=a+b n+c n^2, w h e r ...

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  16. Let E=1/(1^2)+1/(2^2)+1/(3^2)+ Then, a.E<3 b. E >3//2 c. E...

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  17. If 1+2x+3x^2+4x^3+oogeq4 , then a) least value of x is 1//2; b) grea...

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  18. If p ,q ,a n dr are in A.P., then which of the following is/are true? ...

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  19. If n >1 , the value of the positive integer m for which n^m+1 divides ...

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  20. For an increasing A.P. a1, a2, an ifa1=a2+a3+a5=-12 and a1a3a5=80 , ...

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