What is the arithmetic mean of the first 100 natural numbers?

A 50

B 50.5

C 51

D 51.5

Solution

Correct Answer: Option B

আমরা জানি ,
1+2+3...+n=n(n+1)/2
∴1+2+3...+...+100=100(100+1)/2
                            =(100×101)/2
                           =50×101
                           =5050
∴ গড় =5050/100=50.5

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