R S Aggarwal Solutions for Exercise 4: EXERCISE 11D

Find the arithmetic mean between:

$9$ and $19$

Find the arithmetic mean between:

$15$ and $-7$

Find the arithmetic mean between:

$-16$ and $-8$

Insert six arithmetic means between $11$ and $-10$ .

There is $n$ arithmetic means between $9$ and $27$If the ratio of the last mean to the first mean is $2:1,$ find the value of $n$.$$

Insert arithmetic means between $16$ and $65$ such that the $5^{\text{th }}$ $\mathrm{AM}$is $51$ . Find the number of arithmetic means.

Insert five numbers between $11$ and $29$ such that the resulting sequence is an $\mathrm{AP}$.

Prove that the ratio of sum of $m$ arithmetic means between the two numbers to the sum of $n$ arithmetic means between them is $m:n.$