A DAS GUPTA-Progression, Related Inequalities and Series-Exercise
- If tn=sum1^n n, find Sn=sum1^n tn.
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- Find the sum of n terms of the series 1^2 + 4^2+ 7^2 + .........
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- Find the sum of the series 2 + 5 + 14 +41 + 122 +.... up to n terms an...
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- The sum to n terms of series 1+(1/2+1/(2^2))+1+(1/2+1/(2^2)+1/(2^3)+1/...
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- Find the sum to n terms of the series 5+ 11 + 19 + 29+ 41+ ……
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- The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)...
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- Find the sum to n terms of the series 1^(2)/(1)+(1^(2)+2^(2))/(1+2)...
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- Find sum n^3 from n=1 to n=100.
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- Evaluate sum(n=1)^n {sum(n=1)^n (2^n+3n)}.
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- Sum : 1*1+2*3+4*5+8*7+... to n terms.
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- AAn in N ,1+2x+3x^2++ndotx^(n-1)=(x in R , x!=1)
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- 1-4/2+7/(2^2)-10/(2^3)+
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- Sum to infinite terms : 1*2+2*3x+3*4*x^2+...,(|x|<1).
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- Evaluate : sum(r=1)^oo r^2x^(r-1),(|x|<1).
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- Evaluate : sum(n=1)^(15) (2n+1)2^n.
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- If f(x) = x+3x^2+5x^4+7x^8+... to n terms then find the value of f'(1)...
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- If g(x)=1+3x+5x^2+7x^3+... to n terms then find int0^1 g(x)dx.
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- Show that (n-1)/(n+1)+3((n-1)/(n+1))^2+5((n-1)/(n+1))^3+....+oo=sum(r=...
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- Find the sum to n terms of the series 1*2^2 + 2*3^2 + 3*4^2 + ...
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- (x^2+1/(x^2)+2)+(x^4+1/(x^4)+5)+(x^6+1/(x^6)+8)+
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