Question

Find four numbers between the numbers $4$ and $40$, such that an arithmetic progression results.

Answer 1

First term,$a_1=4$

As there are $4$ terms between $4\&40$

$\therefore 6^{th}term=40\Rightarrow a_1+5d=40\Rightarrow 4+5d=40\Rightarrow 5d=40-4=36\Rightarrow d=\frac{36}{5}=7.2$

Hence, the $4$ terms are $11.2,18.4,25.0,32.8$