Math, asked by nityamj753, 2 months ago

5 if the mean of the first natural number is 15, then find n​

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Answered by honeyvekariya
1

Answer:

Here is your answer

answer is 29

The first n natural numbers are 1,2,3,...,n

Given that mean of n natural numbers is 15

 \frac{1 + 2 + 3.... + n}{n}  = 15

We know that sum of first n natural numbers is

 \frac{n(n + 1)}{2}

1 + 2 + 3... + n =  \frac{n(n + 1)}{2}

subtitute 2 from 1 we get

 \frac{n(n + 1)}{2n}  = 15

n + 1 = 30

n = 30 - 1 = 29

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