R. D. Sharma Solutions for Chapter: Arithmetic Progression, Exercise 7: VERY SHORT ANSWER TYPE QUESTIONS (VSAQs)

The first term of an A.P is $p$ and its common difference is $q$. Find its ${10}^{th}$ term.

For what value of $p$, the terms $2p+1, 13, 5p-3$ are three consecutive terms of an A.P.?

If $\frac{4}{5}, a, 2$ are three consecutive terms of an A.P., then find the value of $a$.

If the sum of first $p$ terms of an A.P. is $a{p}^2+bp$, find its common difference.

Find the $9^{th}$ term from the end of the A.P. $5, 9, 13,...,185$.

For what value of $k$ will the consecutive terms $2k+1, 3k+3$ and $5k-1$ form an A.P.?

Write the $n^{\text{th}}$ term of the AP $\frac{1}{m}, \frac{1+m}{m}, \frac{1+2m}{m}, ....$

In an A.P., if the common difference $d=-4$, and the seventh term $a_7$ is $4$, then find the first term.