The mean of the first $n$ natural numbers is $15$. Find $n$.

The mean of the first $n$ natural numbers is $15$. Find $n$.
  1. $15$
  2. $25$
  3. $29$
  4. $30$

Solution

Mean of first $n$ natural numbers $= \dfrac{n+1}{2} = 15 \Rightarrow n+1 = 30 \Rightarrow n = 29$.

Asked in: IMO

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