The sum to n – terms of the series (1 – x) + (2 + x2 ) + (3 – x3 ) + ……………A) \(\cfrac{n(n+1)}2\)+ \(\cfrac{x(1-x^n)}{1-x}\)B) \(\cfrac{2}{n(n+1)}\) - \(\cfrac{1-x}{x(1-x^n)}\)C) \(\cfrac{n(n-1)}2\) - \(\cfrac{x(1-x^n)}{1-x}\)D) \(\cfrac{n(n+1)}2\) - \(\cfrac{x(1-x^n)}{1-x}\)

The sum to n – terms of the series (1 – x) + (2 + x2 ) + (3 – x3

1.	The sum to n – terms of the series (1 – x) + (2 + x2 ) + (3 – x3 ) + ……………A) \(\cfrac{n(n+1)}2\)+ \(\cfrac{x(1-x^n)}{1-x}\)B) \(\cfrac{2}{n(n+1)}\) - \(\cfrac{1-x}{x(1-x^n)}\)C) \(\cfrac{n(n-1)}2\) - \(\cfrac{x(1-x^n)}{1-x}\)D) \(\cfrac{n(n+1)}2\) - \(\cfrac{x(1-x^n)}{1-x}\)
Answer» Correct option is D) \(\cfrac{n(n+1)}2\) - \(\cfrac{x(1-x^n)}{1-x}\)