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Question

Calculate : $$1- 2 + 3 - 4 + 5 - 6 + 7 - 8 +.....+ 49 - 50$$

Solution
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We have: $$1-2+3-4+5-6+7-8+.....+49-50$$
$$\Rightarrow (1-2)+(3-4)+(5-6)+(7-8)+.....+(49-50)$$
$$\Rightarrow (-1)+(-1)+(-1)+(-1)+.....+(-1)$$ ....[$$25$$ times]
$$\Rightarrow -25$$

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