The $n^{th}$ term of an $A.P.$ is given by $T_n = 5n - 2$. Then,the $12^{th}$ term of the $A.P.$ is:

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 sum of the first $n$ terms of the $A.P.$ $5, 2, -1, \ldots$

The sum of four numbers in $A.P.$ is $50$. The greatest number is four times the smallest number. Find those numbers.

Which term of the $A.P.$ $4, 9, 14, \ldots$ is $224$ (in $^{th}$)?

The $n^{th}$ term of an $A.P.$ is given by $T_{n} = 7 - 3n$. Find the sum of the first $25$ terms of the $A.P.$