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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
- 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 their...
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- If f(x) is a function satisfying f(x+y)=f(x)f(y) for all x,yin N such ...
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- If sum(r=1)^nTr =n/8(n+1)(n+2)(n+3) then find sum(r=1)^n1/Tr
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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 two 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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- If (a-x)/(p x)=(a-y)/(q y)=(a-z)/(rz) and p ,q ,and r are in A.P., the...
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- Find the sum of n terms of the series 1+4/5+7/(5^2)+10/5^3+......
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- Find the sum (1^2)/2-(3^2)/(2^2)+(5^2)/(2^3)-(7^2)/(2^4)+....oodot
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- If H is the harmonic mean between P and Q then find the value of H//P+...
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- If Tr=r(r^2-1), then find sum(r=2)^oo1/Trdot
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- Insert four H.M.’s between 2/3 and 2/13.
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