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If b(n+1)=1/(1-bn)forngeq1a n db1=b3, t ...

If `b_(n+1)=1/(1-b_n)forngeq1a n db_1=b_3, t h e nsum_(r=1)^(2001)b r^ 2001` is equal to a. `2001` b. `-2001` c. `0` d. none of these

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
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  2. If (1^2-t1)+(2^2-t2)+---+(n^2-tn)=(n(n^2-1))/3 , then tn is equal to a...

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  3. If b(n+1)=1/(1-bn)forngeq1a n db1=b3, t h e nsum(r=1)^(2001)b r^ 2001 ...

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  4. Let a1, a2, a3, ,a(100) be an arithmetic progression with a1=3a n dsp...

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  5. If 1^2+2^2+3^2++2003^2=(2003)(4007)(334) and (1)(2003)+(2)(2002)+(3)(2...

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  6. The value of sum(i=1)^nsum(j=1)^isum(k=1)^j1=220 , then the value of ...

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  7. The sum of 0. 2+0.004+0. 00006+0. 0000008+... to oo is a.(200)/(891) ...

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  9. The coefficient of x^(19) in the polynomial (x-1)(x-2)(x-2^2)(x-2^(19)...

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  10. If 1-1/3+1/5-1/7+1/9-1/(11)+=pi/4 , then value of 1/(1xx3)+1/(5xx7)+1/...

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  11. The positive integer n for which 2xx2^2+3xx2^3+4xx2^4+......+nxx2^n=2...

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

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

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  14. 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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  15. The difference between the sum of the first k terms of the series ...

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

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

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

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

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

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