What is the common difference of an $AP$ in which $a_{18}-a_{14}=32$?

For a given $A.P.$,$a=1$ and $d=2$. Then,$S_{10} = \dots$

For a given $A.P.$,$a=2$ and $d=3$. Then,$S_{30} = \dots$

The first term of an $AP$ is $-5$ and the last term is $45$. If the sum of the terms of the $AP$ is $120$,then find the number of terms and the common difference.

The sum of three consecutive terms of an $A.P.$ is $30$ and the product of its first and last term is $75$. Then,the common difference of the $A.P.$ is $\ldots \ldots \ldots \ldots .$

Find the $12^{th}$ term of the $A.P.$ $9, 13, 17, 21, \ldots$