Question:
If the mean of first n natural number is 15 , then n = 29 is answer ( Please explain this answer )
Answer:
The first n natural numbers are:
1, 2, 3, 4, ..........,n
Now, Mean = (1 + 2 + 3 + 4 +..........+ n)/n
=> 15 = (1 + 2 + 3 + 4 +..........+ n)/n
=> 15 = {n(n + 1)/2}/n
=> 15 = (n + 1)/2
=> n + 1 = 15 * 2
=> n + 1 = 30
=> n = 30 - 1
=> n = 29
So, the value of n is 29
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