Assam Board Solutions for Chapter: Arithmetic Progressions, Exercise 1: Exercise 5.1

Is the following an $\mathrm{A}\mathrm{P}$? If it forms an $\mathrm{A}\mathrm{P}$, find the common difference $d\mathrm{}$ and write three more terms.
$-\frac{1}{2}, -\frac{1}{2}, -\frac{1}{2}, -\frac{1}{2}, \dots$

Which of the following are $\mathrm{A}\mathrm{P}\mathrm{s}$? If they form an $\mathrm{A}\mathrm{P}$, find the common difference $d\mathrm{}$ and write three more terms.
$1, 3, 9, 27, ...$
 

Does the following series form an $\mathrm{A}\mathrm{P}$? If it forms an $\mathrm{A}\mathrm{P}$, find the common difference $d\mathrm{}$ and write three more terms.
$a, 2a, 3a, 4a, ...$

Is the following an $\mathrm{A}\mathrm{P}$? If it is, then find the common difference $d\mathrm{}$ and write three more terms.
$a, a^2, a^3, a^4, ...$

Is the following sequence an $\mathrm{A}\mathrm{P}$? If it forms an $\mathrm{A}\mathrm{P}$, find the common difference $d\mathrm{}$ and write three more terms.

$\sqrt{2}, \sqrt{8}, \sqrt{18}, \sqrt{32}, ...$

Is the following sequence an $\mathrm{A}\mathrm{P}$? If it forms an $\mathrm{A}\mathrm{P}$, find the common difference $d\mathrm{}$ and write three more terms.
$\sqrt{3}, \sqrt{6}, \sqrt{9}, \sqrt{12}, ...$

Is the following sequence an $\mathrm{A}\mathrm{P}$? If it forms an $\mathrm{A}\mathrm{P}$, find the common difference $d\mathrm{}$ and write three more terms.

$1^2, 3^2, 5^2, 7^2, ...$

Is the following sequence an $\mathrm{A}\mathrm{P}$? If it forms an $\mathrm{A}\mathrm{P}$, find the common difference $d\mathrm{}$ and write three more terms.
$1^2, 5^2, 7^2, 73, ...$