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If p(x)=(1+x^2+x^4++x^(2n-2))//(1+x+x^2+...

If `p(x)=(1+x^2+x^4++x^(2n-2))//(1+x+x^2++x^(n-1))` is a polomial in `x` , then find possible value of `ndot`

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CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. Find the sum of the following series: (sqrt(2)+1)+1(sqrt(2)-1)+..........

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  2. If the set of natural numbers is partitioned into subsets S1={1},S2={2...

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  3. 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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  4. If the sum of the squares of the first n natural numbers exceeds theri...

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  5. If f is a function satisfying f(x+y)=f(x)xxf(y) for all x ,y in N suc...

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  6. 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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  7. Find the sum to n terms of the series :1xx2xx3 + 2xx3xx4 + 3xx4xx5 + ....

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  8. If the sum to infinity of the series 3+(3+d)1/4+(3+2d)1/(4^2)+......oo...

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  9. Find the sum to infinity of the series 1^2+2^2x+3^2x^2+oodot

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  10. 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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  11. Find the sum of the series 1-3x+5x^2-7x^3+ ton terms.

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  12. In a geometric progression consisting of positive terms, each term ...

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  13. If the A.M. between two numbers exceeds their G.M. by 2 and the GM. ...

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  14. The AM of teo given positive numbers is 2. If the larger number is inc...

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  15. Find the sum of the series 1+3x+5x^2+7x^3+..........upto n terms.

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  16. If (a-x)/(p x)=(a-y)/(q y)=(a-z)/ra n dp ,q ,a n dr are in A.P., then...

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  17. Find the sum of n terms of the series 1+4/5+7/(5^2)+10/5^3+......

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  18. Find the sum (1^2)/2-(3^2)/(2^2)+(5^2)/(2^3)-(7^2)/(2^4)+....oodot

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  19. If H is the harmonic mean between Pa n dQ then find the value of H//P+...

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  20. If Tr=r(r^2-1), then find sum(r=2)^oo1/Tdot

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