What is the sum of the series $1 + (1 + x) + (1 + x + x^2) + (1 + x + x^2 + x^3) + \dots$ up to $n$ terms?

  • A
    $\frac{1 - x^n}{1 - x}$
  • B
    $\frac{x(1 - x^n)}{1 - x}$
  • C
    $\frac{n(1 - x) - x(1 - x^n)}{(1 - x)^2}$
  • D
    None of these

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