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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 55
Let 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.

Mathematics

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