Question

Insert $4$ arithmetic means between $11$ and $26$

Answer 1

We have,

$11,\_\_\_\_,\_\_\_\_\_,\_\_\_\_\_\_,\_\_\_\_\_\_,26$

Let $11+d,11+2d,11+3d,11+4d$ be the arithmetic mean.

Now,

$d=\frac{26-11}{4+1}$

$d=\frac{15}{5}=3$

Put the value of d and we get,

$11+3,11+6,11+9,11+12$

$\Rightarrow 14,17,20,23$

Hence, this is the answer.