The average of the first 100 positive integers is Options: A . &nbsp49.5 B . &nbsp50.5 C . &nbsp51 D . &nbsp100

The average of the first 100 positive integers is

Question

The average of the first 100 positive integers is

Options:

A . 49.5

B . 50.5

C . 51

D . 100

Answer: Option B
Answer: (b)Using Rule 3,Average of 1,2,3, .....n =${n +1}/2$ Formula,1 + 2 + 3 + ...... + n= ${n(n+1)}/2$ Average of these numbers = ${n+1}/2$ ∴ Required average${100+1}/2$ = 50.5

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