Sequence And Series Question 45

Question: The arithmetic mean of first n natural number

[RPET 1986]

Options:

A) $ \frac{n-1}{2} $

B) $ \frac{n+1}{2} $

C) $ \frac{n}{2} $

D) $ n $

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Answer:

Correct Answer: B

Solution:

A.M. $ =\frac{1+2+3+……+n}{n}=\frac{\frac{1}{2}n(n+1)}{n}=\frac{n+1}{2} $ .