M L Aggarwal Solutions for Chapter: Arithmetic Progressions, Exercise 2: Execise 5.2

The sum of three numbers in AP is $3$ and their product is $-35$. Find the numbers.

The sum of three numbers in AP is $30$ and the ratio of first number to the third number is $3:7$. Find the numbers.

The sum of the first three terms of an AP is $33$. If the product of the first and the third terms exceeds the second term by $29$, find the AP.

Find five numbers in AP whose sum is $12\frac{1}{2}$ and the ratio of first to the last is $2:3$.

A man starts repaying a loan as a first instalment of $₹500$. If he increases the instalment by $₹25$ every month. If the amount will he pay in the ${30}^{\mathrm{th}}$ instalment is $₹k$, find $k$.

Ramkali saved $₹5$ in the first week of a year and then increased her savings by $₹1.75$. If in the $n^{\mathrm{th}}$ week, her weekly savings become $₹20.75$, find $n$.

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

$2n-3$

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

$n^2+1$