Arithmetic Mean

Step 1: Understand the concept of Arithmetic Mean.
The Arithmetic Mean (A.M.) of two numbers and is given by: We are asked to find the value of for which: is the A.M.
between and .
Step 2: Set up the equation.
For the given expression to be the A.M.
between and , it should be equal to:
Step 3: Analyze the expression.
Let’s simplify the given expression for different values of .
The value of that satisfies the equation is found to be 1, as this makes the expression equal to .
Step 4: Conclusion.
Therefore, the value of for which the expression is the A.M.
between and is 1.