If S1, S2,.... Sn are the sums of n infinite geometrical series whose first terms are 1, 2, 3, .... n and common ratios are \(\frac{1}{2},\frac{1}{3}.\frac{1}{4},...,\frac{1}{{n + 1}}\) , then (S1 + S2 + S3 + ... + Sn) = ?
1
\( \frac{1}{2}n(n + 2)\)
2
\( \frac{1}{3}n(n + 2)\)
3
\( \frac{1}{2}n(n + 3)\)
4
\( \frac{1}{3}n(n + 3)\)