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Sum the series : (1*2)+(1*2+2*3)+(1*2+2*...

Sum the series : `(1*2)+(1*2+2*3)+(1*2+2*3+3*4)+...` to 12 brackets.

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A DAS GUPTA-Progression, Related Inequalities and Series-Exercise
  1. Sum to n terms :1*3^2+3*5^2+5*7^2+...

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  2. Find the sum of the series 1*n+2*(n-1)+3*(n-2)+4*(n-3)+"..."+(n-1)*2+,...

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  3. Sum the series : (1*2)+(1*2+2*3)+(1*2+2*3+3*4)+... to 12 brackets.

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  4. If a1,a2,a3,...,an be in AP whose common difference is d then prove th...

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  5. Find the sum of n terms of the series 1 *2 *3 + 2*4*6 + 3*6*9+...

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  6. Find the sum of n terms of the series 1 + 9 +24 + 46 + 75................

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  7. Find the nth term and sum to n tems of the following series: 3+6+11+18...

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  8. If tn=sum1^n n, find Sn=sum1^n tn.

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  9. Find the sum of n terms of the series 1^2 + 4^2+ 7^2 + .........

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  10. Find the sum of the series 2 + 5 + 14 +41 + 122 +.... up to n terms an...

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  11. 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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  12. Find the sum to n terms of the series 5+ 11 + 19 + 29+ 41+ ……

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  13. The sum of first 9 terms of the series (1^(3))/(1)+(1^(3)+2^(3))/(1+3)...

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  14. Find the sum to n terms of the series 1^(2)/(1)+(1^(2)+2^(2))/(1+2)...

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  15. Find sum n^3 from n=1 to n=100.

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  16. Evaluate sum(n=1)^n {sum(n=1)^n (2^n+3n)}.

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  17. Sum : 1*1+2*3+4*5+8*7+... to n terms.

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  18. AAn in N ,1+2x+3x^2++ndotx^(n-1)=(x in R , x!=1)

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  19. 1-4/2+7/(2^2)-10/(2^3)+

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  20. Sum to infinite terms : 1*2+2*3x+3*4*x^2+...,(|x|<1).

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