Question

Check if given series is $AP$ or not? If they form an $AP$, find the common difference $d$ and write three more terms.
$0.2,0.22,0.222,0.2222,....$

Answer 1

The given series is $0.2,0.22,0.222,0.2222,\cdots$.

$a_2-a_1=0.22-0.2$

$=0.02$

$a_3-a_2=0.222-0.22$

$=0.002$

$a_4-a_3=0.2222-0.222$

$=0.0002$

This shows that the difference is not same, so the given series is not in A.P.