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CENGAGE-SEQUENCE AND SERIES-Question Bank
- If the value of sumr=0^50(2 r+1)(-1)^r is a two digit number, then the...
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- Let a, b, c in R^+ and 2 a b^3+a^2 b^3+b^3=243 . If 2 a+3 b+2 a...
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- If 3+1/4(3 div d)+1/4^2(3+2 d)+..+ upto oo=8 , then the value of...
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- Evaluate: [(2+1)(2^2+1)(2^4+1)l(2^8+1)(2^16+1)+1/2^32]
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- If 2 p, p and [p^2-14], p in R-0 are the first three terms of a G.P. i...
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- Consider two positive numbers a and b. If arithmetic mean of a.and b e...
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- The difference between the sum of the first k terms of the series 1^3+...
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- Let alpha, beta, gamma, delta are zeroes of P(x)=5 x^4+p x^3+q x^2+r ....
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- If 1^3+3^3+5^3+ldots(2 k-1)^3/2^3+4^3+6^3+(2 k)^3=199/242, then the...
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- Let a1, a2, .., a10 be in A.P. and h1, h2, ... h10 be in H.P. If a1=h1...
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- The sum of the first 10 terms of the series 7/2^2 5^2+ 13/5^2 8^2+...
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- The value of sumn=2^oo n/1+n^2(n^2-2) is equal to
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- Let S=sumk=0^oo 2^k/7^2^k+1 then 1/S is equal to
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- If x=log 2 and y=log 3, then a+b x+c y=[log 1+log (1+3)+log (1+...
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- Least value of n for which 3+6+9+…. to n terms exceeds'900 is k, then ...
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- n arithmetic means A1, A2 .., An are inserted between 7 and 49 such th...
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- If p, q, r are G.M. between positive number a b and A is one arithmet...
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- Let a, b, c, d be four numbers such that b, c, d are in G.P. with comm...
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- 1+(1+2)(1+3)/2^2(1^3+2^3)+(1+2+3)(1+3+5)/3^2(1^3+2^3+3^3)+(1+2+3+4)(1+...
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- If the first and third terms of a G.P. áre a-2 and a+6 respectively an...
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