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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
- Three numbers are in G.P. whose sum is 70. If the extremes be each mul...
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- If x=a+a/r+a/(r^2)+oo,y=b-b/r+b/(r^2)+oo,a n d z=c+c/(r^2)+c/(r^4)+o...
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- Find the sum 1+4+13+40+121+dot
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- If each term of an infinite G.P. is twice the sum of the terms foll...
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- The sum to n terms of series 1+(1+1/2+1/(2^2))+(1+1/2+1/(2^2)+1/(2^3))...
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- Find the sum of the following series: (sqrt(2)+1)+1(sqrt(2)-1)+..........
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- If the set of natural numbers is partitioned into subsets S1={1},S2={2...
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- If p(x)=(1+x^2+x^4++x^(2n-2))//(1+x+x^2++x^(n-1)) is a polomial in x ,...
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- If the sum of the squares of the first n natural numbers exceeds theri...
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- If f is a function satisfying f(x+y)=f(x)xxf(y) for all x ,y in N suc...
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- If sum(r=1)^n tr=n/8(n+1)(n+2)(n+3), then find sum(r=1)^n1/(tr)dot
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- Find the sum to n terms of the series :1xx2xx3 + 2xx3xx4 + 3xx4xx5 + ....
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- If the sum to infinity of the series 3+(3+d)1/4+(3+2d)1/(4^2)+......oo...
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- Find the sum to infinity of the series 1^2+2^2x+3^2x^2+oodot
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- If a ,b ,c ,d are in G.P., then prove that (a^3+b^3)^(-1),(b^3+c^3)^(-...
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- Find the sum of the series 1-3x+5x^2-7x^3+ ton terms.
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- In a geometric progression consisting of positive terms, each term ...
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- If the A.M. between two numbers exceeds their G.M. by 2 and the GM. ...
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- The AM of teo given positive numbers is 2. If the larger number is inc...
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- Find the sum of the series 1+3x+5x^2+7x^3+..........upto n terms.
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