Question

Find the AM OF 2,4,6,8....2N

Answer 1

Heya

AM=1/2(a+l)
let a=2
and l=2n .

now AM=1/2(2+2N)

AM=1+N

hope it help you .

@rajukumar ☺

Answer 2

Answer:

The Arithmetic mean of given series is (n + 1)

Step-by-step explanation:

The given series is 2, 4, 6, 8......,2n

Let the number of terms in the series be n

The series can be written as

2 (1, 2, 3, 4,......,n)

We know that sum of first n natural numbers is given by

$Sn=\frac{n(n+1)}{2}$

Therefore the sum of n terms of given series is given by

$S_{2n} = 2(\frac{n(n+1)}{2} )$

    = n(n + 1)

$AM= \frac{sum}{n}$

Sum = sum of terms in the series

n = number of terms in the series

$AM =\frac{n(n+1)}{n}$

AM = n + 1

Where n is the number of terms in the given series

Therefore the Arithmetic mean of the given series 2, 4, 6, 8......,2n is

(n + 1)