Extending the same logic you’ve seen in the video so far, find out the sum of the first 10 natural numbers
(Consider $S_{10} = 1 + 2 + 3 + \dots + 10$ to proceed.).

110

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220

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Solution

The correct option is B 55
Let $S_{10}$ denote the sum of first 10 natural numbers.
$∴ S_{10} = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 - - - (1)$
Since reversing the order in which the numbers are added will not change the sum, we have
$S_{10} = 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1. - - - (2)$
Adding equations (1) and (2), we have
$2 S_{10} = 11 + 11 + 11 + 11 + 11 + 11 + 11 + 11 + 11 + 11.$
$2 S_{10} = 11 \times 10$
$\Rightarrow S_{10} = \frac{11 \times 10}{2} = 55$
Thus, the sum of first 10 natural numbers is 55.

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