Question

Check whether the sequence 7, 12, 17, 22,......
is an Ap. If it is an Ap., find
D and TN​

Answer 1

Given :-

AP: 7,12,17,22.....

Here first term a=7

To Find:-

D and $T_n$

Solution:-

common difference $d=a_2-a_1=12−7=5$

Since,

$\begin{gathered}\sf a_ n =a+(n−1)d\\ a_n =7+(n−1)5\\ a _n=5n+2\\ nth\: term = 5n+2\end{gathered}$