R S Aggarwal Solutions for Exercise 1: EXERCISE 7A

If the ${20}^{\mathrm{th}}$ term of the A.P $\sqrt{2},3\sqrt{2},5\sqrt{2},\dots$ is $k\sqrt{2}$ then find the value of $k$.

Find the $n^{\mathrm{th}}$ term of the A.P $8,3,-2,-7,\dots$

Which term of the A.P $5,8,11,14,\dots \text{ is }320?$

Which term of the A.P $64,60,56,\dots \text{ is }0?$

Three numbers are in A.P. If their sum is $27$ and the product $648$, find the numbers.

The sum of three consecutive terms of an A.P is $21$ and the sum of the squares of these terms is $165$. Find these terms.

The angles of a quadrilateral are in A.P whose common difference is $10°$. Find the angles.

Divide $32$ into four parts which are in A.P such that the product of the extremes is to the product of means as $7:15$.