Neha Tyagi and Amit Rastogi Solutions for Chapter: Arithmetic Progressions, Exercise 2: Exercise

Is $0$ a term of the AP $31, 28, 25, .....$? Justify your Answer.

In which of the following situations, do the lists of numbers involved form an $\mathrm{AP}$? Give reasons for your answers.

The fee charged from a student every month by a school for the whole session, when the monthly fee is $₹400$.

The fee charged every month by a school from classes $\mathrm{I}$ to $\mathrm{XII}$, When the monthly fee for class I is $₹250$ and it increase by $₹50$ for the next higher class. Identify whether the situation describes an $\mathrm{A}.\mathrm{P}$ or not. Give reason for your answer.

The amount of money in the account of Varun at the end of every year when $₹1000$ is deposited at simple interest of $10\%$ per annum.

In which of the following situations, do the lists of numbers involved form an $\mathrm{AP}$? Give reasons for your answers. 

The number of bacteria in a certain food item after each second, when they double in every second.

Justify whether it is true to say that the following are the $n$^th terms of an $\mathrm{AP}$.

$2n-3$

Justify whether it is true to say that the following are the $n$^th terms of an $\mathrm{AP}$.

$3n^2+5$

Justify whether it is true to say that the following are the $n$^th terms of an $\mathrm{AP}$.

$1+n+n^2$