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A DAS GUPTA-Progression, Related Inequalities and Series-Exercise
- 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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- Sum to infinite terms : 1/5-2/7^2+3/5^3-4/7^4+....
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- Sum to n terms : 0.4+0.44+0.444+....
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- Find the sum to n terms of the series 5 + 55 + 555 + ...
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- Natural numbers are divided into groups in the following way: 1,(2,3),...
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- Prove that the sum of the numbers in any group in the following is the...
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