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1968 AMC 12 Question 27

AMC12 · 1968 AMC 12

Question 27

Let

$$
\begin{aligned} S_n&=1-2+3-4+\cdots\\ &\quad+(-1)^{n-1}n. \end{aligned}
$$

Here $n=1,$ $2,$ $\ldots.$ Then $S_{17}+S_{33}+S_{50}$ equals:
  1. $0$
  2. $1$
  3. $2$
  4. $-1$
  5. $-2$