The mean of first n natural numbers is x what is the mean of first n even number even natural numbers
Answers
Answer:
the mean of first n even natural numbers = 4x-1
Step-by-step explanation:
The sum of first n natural numbers is given by the formula (n×(n+1))÷2
The average of the first n numbers is given by = (n×(n+1))÷(2×n)
x = (n+1)÷2
n =2x-1
The sum of first n even numbers= (2n×(2n+1))÷2
The average of first n numbers is given by = ( 2n×(2n+1))÷(2×n)
=2n+1
Substituting value of n 2×(2x-1)+1
the mean of first n even natural numbers = 4x-1