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Find the sum of the following series up ...

Find the sum of the following series up to n terms : `(1^3)/1+(1^3+2^2)/(1+3)+(1^3+2^3+3^3)/(1+3+5)+dotdotdot`

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To find the sum of the series up to \( n \) terms given by \[ S_n = \frac{1^3}{1} + \frac{1^3 + 2^3}{1 + 3} + \frac{1^3 + 2^3 + 3^3}{1 + 3 + 5} + \ldots \] we can denote the \( r \)-th term of the series as \( a_r \). ...
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  11. If (a+b x)/(a-b x)=(b+c x)/(b-c x)=(c+dx)/(c-dx)(x!=0),then show that...

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  12. The sum of three numbers m GP is 56. If we subtract 1.7,21 from these...

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  16. Let the sum of n, 2n, 3n terms of an A.P. be S1,S2and S3, respectively...

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