Find the sum to $n$ terms of the series $1 \times 2 \times 3 + 2 \times 3 \times 4 + 3 \times 4 \times 5 + \ldots$

  • A
    $\frac{n(n+1)(n+2)(n+3)}{4}$
  • B
    $\frac{n(n+1)(n+2)(n+4)}{4}$
  • C
    $\frac{n(n+1)(n+2)(n+5)}{4}$
  • D
    $\frac{n(n+1)(n+3)(n+4)}{4}$

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What is the sum of $n$ terms of the series $1 \cdot 2 \cdot 3 + 2 \cdot 3 \cdot 4 + 3 \cdot 4 \cdot 5 + \dots$?

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