calculate-S-1-k-0-n-C-n-k-S-2-k-0-n-2-C-n-2k-S-3-k-0-n-3-C-n-3k-

Question Number 50362 by prof Abdo imad last updated on 16/Dec/18

c a l c u l a t e S_{1} = \sum_{k = 0}^{n} C_{n}^{k}

S_{2} = \sum_{k = 0}^{[\frac{n}{2}]} C_{n}^{2 k}

S_{3} = \sum_{k = 0}^{[\frac{n}{3}]} C_{n}^{3 k}