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Series

sum the serie...

Question

sum the series $1 + 2 + . . . \dots \dots . + 100$

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Solution

Series sum : - $1 + 2 + . . . . . . . . . + 100$

sum of natural numbers upto $100$

We known,

$S_{n} = \frac{n (n + 1)}{2}$

$∴ S_{100} = 100 \times \frac{101}{2}$
$= 101 \times 50$

$S_{100} = 5050$

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