Question:
If the mean of first n natural number is 15, then n =
(a) 15
(b) 30
(c) 14
(d) 29
Solution:
Given:
Mean of first n natural numbers = 15
$\Rightarrow \frac{1+2+3+\ldots+n}{n}=15$
$\Rightarrow \frac{\frac{n(n+1)}{2}}{n}=15$
$\Rightarrow \frac{n+1}{2}=15$
$\Rightarrow n+1=30$
$\Rightarrow n=29$
Hence, the correct option is (d).