Question

If the mean of first n natural numbers is 3n/5, then the value of n is​

Answer 1

Step-by-step explanation:

The value of n = 5

Step-by-step explanation:

Given,

Mean of first n natural numbers = \bold{\frac{3n}{5}}

5

3n

We know that,

Mean of n natural numbers = \bold{\frac{n+1}{2}}

2

n+1

⇒ \bold{\frac{n+1}{2}}

2

n+1

= \bold{\frac{3n}{5}}

5

3n

⇒ 5(n + 1) = 2(3n)

⇒ 5n + 5 = 6n

⇒ n = 5

Therefore the value of n = 5

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