For a given $A.P.$,the first term is $5$ and the common difference is $3$. Then the $15^{th}$ term of the $A.P.$ is.........

There are $60$ terms in a finite $A.P.$. Its first term is $7$ and the last term is $125$. Find its $32^{nd}$ term.

In an $AP$,if $S_{n} = 3n^{2} + 5n$ and $a_{k} = 164$,find the value of $k$.

Which term of the $A.P. \, 53, 48, 43, \ldots$ is the first negative term?

Two $AP$s have the same common difference. The first term of one of these is $-1$ and that of the other is $-8$. Then the difference between their $4^{\text{th}}$ terms is

For an $A.P.$,five times the $5^{th}$ term is equal to eight times the $8^{th}$ term. Find the $13^{th}$ term of the $A.P.$