nth Term of an AP

The first term of an $AP$ is $p$ and the common difference is $q$, then its ${10}^{th}$ term is

How many two digits numbers are divisible by $3$?

In an $\mathrm{AP}$, if the common difference $\left(d\right)=-4$, and the seventh term $\left(a_7\right)$ is $4$, then find the first term.

Which term of the $AP 3, 15, 27, 39, ....$ will be $120$ more than its ${21}^{st}$ term?

The ratio of the $11\mathrm{th}$ term to the $18\mathrm{th}$ term of an A.P is $2:3$ . Find the ratio of the $5\mathrm{th}$ term to $21\mathrm{th}$ term and also the ratio of the sum of first five terms to the sum of first $21$ terms.

Determine the A.P. whose third term is $5$ and seventh term is $9$

In an A.P. if the sum of third and seventh term is zero, find its $5^{th}$ term.

The sum of first $15$ terms of an A.P. is $750$ and its first term is $15$ . Find its $20\mathrm{th}$ term.

The next term of the  A.P: $\sqrt{7}, \sqrt{28}, \sqrt{63}$ is:

Solve the equation:

$-4+\left(-1\right)+2+5+....+x=437$

Which term of the A.P $-\frac{11}{2}, -3, -\frac{1}{2}, ....\text{ is }\frac{49}{2}?$

In an A.P. if the sum of the third and seventh term is zero, find its $5^{\text{th }}$ term.

How many terms are there in an AP whose first and fifth terms are $14 \& 2$ respectively and the last term is $62$.  

Which term of $-\frac{11}{2}, -3, -\frac{1}{2}, .....$ is $\frac{49}{2}$?