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CENGAGE-SEQUENCES AND SERIES-Solved Examples And Exercises
- Each question has four choices a,b,c and d out of which only one is...
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- If (1^2-t1)+(2^2-t2)++(n^2-tn)+=(n(n^2-1))/3 , then tn is equal to n^2...
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- 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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- Let a1, a2, a3, ,a(100) be an arithmetic progression with a1=3a n dsp...
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- If 1^2+2^2+3^2++2003^2=(2003)(4007)(334)a n d(1)(2003)+(2)(2002)+(3)(2...
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- The value of sum(i=1)^nsum(j=1)^isum(k=1)^j1=220 , then the value of ...
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- The sum of 0. 2+0004+0. 00006+0. 0000008+... to oo is (200)/(891) b. ...
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- If tn=1/4(n+2)(n+3) for n=1, 2 ,3,.... then 1/t1+1/t2+1/t3+....+1/(t(...
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- The coefficient of x^(19) in the polynomial (x-1)(x-2)(x-2^2)(x-2^(19)...
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- 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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- The positive integer n for which 2xx2^2+3xx2^3+4xx2^4+......+nxx2^n=2...
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- If tn denotes the nth term of the series 2+3+6+11+18+...t h e nt(50) ...
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- The number of positive integral ordered pairs of (a ,b) such that 6,a ...
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- 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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- The difference between the sum of the first k terms of the serie...
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- The value of the sum(n=0)^oo(2n+3)/(3^n) is equal to.
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- If the roots of 10 x^3-n x^2-54 x-27=0 are in harmonic oprogresi...
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- The 5th and 8th terms of a geometric sequence of real numbers are 7! ...
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- Let a ,b ,c ,d be four distinct real numbers in A.P. Then half of the...
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- Let a1, a2, a3, ,a(101) are in G.P. with a(101)=25a n dsum(i=1)^(201)...
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