Chapter 11, Problem 6CR

To determine

To calculate: The correct option which shows value of geometric means of $10$ and $40$

  $\begin{array}{l}a.15\\ b.20\\ c.25\\ d.30\end{array}$

Answer to Problem 6CR

The correct option is (b).

The value of geometric means of $10$ and $40$ is $20$ .

Explanation of Solution

Given information:

  $\begin{array}{l}{a}_1=10\\ a_2=40\end{array}$

Formula used:

Arithmetic sequence: $m=\frac{a_1+a_2}{2}$

Calculation:

Consider the following sequence:

  $\begin{array}{l}m=\frac{10+40}{2}\\ m=20\end{array}$

The correct option is (b).

The value of geometric means of $10$ and $40$ is $20$ .