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Question

Extending the same logic you’ve seen in the video so far, find out the sum of the first 10 natural numbers (Consider S10=1+2+3+…+10 to proceed.).

A
110
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B
55
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C
220
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D
66
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Solution

The correct option is B 55Let S10 denote the sum of first 10 natural numbers. ∴S10 = 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 S10 = 10+9+8+7+6+5+4+3+2+1.−−−(2) Adding equations (1) and (2), we have 2S10 = 11+11+11+11+11+11+11+11+11+11. 2S10 = 11×10 ⇒ S10=11×102=55 Thus, the sum of first 10 natural numbers is 55.

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