Question:
The first term of an A.P. is p and its common difference is q. Find its 10th term.
Solution:
Here, we are given,
First term (a) = p
Common difference (d) = q
We need to find the 10th term (an).
As we know,
$a_{n}=a+(n-1) d$
So, for 10th term (n = 10), we get,
$a_{10}=p+(10-1) q$
$=p+9 q$
Therefore, $a_{10}=p+9 q$