Question

find the arithmetic mean of x,x+1 and x+2​

Answer 1

Answer:

The arithmetic mean of x,x+1 and x+2​ is x + 1.

Step-by-step explanation:

Given: number = x , x+1, x+ 2

Find : the arithmetic mean of x,x+1 and x+2​

Formula :

The arithmetic mean = {Sum of Observation}÷{Total numbers of observation}

 $\frac{x + (x+ 1)(x + 2)}{3} \\= \frac{x+ x + 1 + x + 2}{3} \\= \frac{3x+ 3}{3} \\= \frac{3(x+1)}{3} \\= x + 1$

Answer 2

In context to question asked,

We have to determine the arithmetic mean of x,x+1 and x+2.

As we know that,

For determining the arithmetic mean we will add all the given numbers and divide it by total count of numbers.

So, from question,

It is given that,

 x , x+1, x+ 2

So,

The arithmetic mean = {Sum of Observation}÷{Total numbers of observation}

Hence, from above formula,

We will get the arithmetic mean as,

$\frac{x + (x+ 1)(x + 2)}{3} \\= \frac{x+ x + 1 + x + 2}{3} \\= \frac{3x+ 3}{3} \\= \frac{3(x+1)}{3} \\= x + 1$

Hence, the arithmetic mean of the given numbers will be x+1.