R S Aggarwal and Veena Aggarwal Solutions for Exercise 4: Exercise 5D

Find the sum of first $n$ even natural numbers.

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

If $(2p+1), 13, (5p-3)$ are in $AP$, find the value of $p$.

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

If the sum of first $n$ terms is$(3n^2+5n)$, find its common difference.

 Find an $AP$ whose $4^{th}$term is $9$ and the sum of its $6^{th}$ and ${13}^{th}$ terms is $40$.

What is the common difference of an AP in which $a_{27}-a_7=84$ ?

If $1+4+7+10+\dots +x=287$, find the value of $x$.