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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.
(You can use S10=1+2+3++10 and proceed)



A

 10×11

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B

(10×11)2

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C

(10×2)11

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D

None of these

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Solution

The correct option is A

(10×11)2


Let us proceed as we have seen in the video to add 4 numbers.
Let S10 denote the sum to first 10 natural numbers.  
S10=1+2+3+4+5+6+7+8+9+10 ----(1)
Reversing the numbers and adding will not change the sum and hence,
S10=10+9+8+7+6+5+4+3+2+1 ----(2)
Adding equation (1) & (2)
2S10=11+11+11+11+11+11+11+11+11+11
2S10=11×10
 S10=(11×10)2=55


Mathematics

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