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Question

Find the sum of the first 10 natural numbers.
(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 B

(10×11)2


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


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