Question

Put five terms between the numbers $1$ and $1.3$, so that together with the given terms they will form an arithmetic progression.

Answer 1

First term,$a_1=1$

As,there are $5$ terms between $1\&1.3$,so

$7th$ term$=1.3$

$\Rightarrow a_1+6d=1.3\Rightarrow 1+6d=1.3\Rightarrow 6d=0.3\Rightarrow d=\frac{0.3}{6}=0.03$

The $5$ terms are $1.05,1.10,1.15,1.20,1.25$