The $n^{th}$ term of an $A.P.$ is given by $T_n = 3n - 1$. For this $A.P.$,the common difference $d = \ldots$

The students of a school decided to beautify the school on the Annual Day by fixing colourful flags on the straight passage of the school. They have $27$ flags to be fixed at intervals of every $2 \,m$. The flags are stored at the position of the middle-most flag. Ruchi was given the responsibility of placing the flags. Ruchi kept her books where the flags were stored. She could carry only one flag at a time. How much total distance did she cover in completing this job and returning back to collect her books? What is the maximum distance she travelled carrying a flag? (in $m$)

The sum of the first $20$ terms of the $A.P.$ $5, 11, 17, 23, \ldots$ is:

For an $A.P.$,the $6^{th}$ term is $19$ and the $17^{th}$ term is $41$. Find the $40^{th}$ term of the $A.P.$

Yasmeen saves $Rs.\, 32$ during the first month,$Rs.\, 36$ in the second month,and $Rs.\, 40$ in the third month. If she continues to save in this manner,in how many months will she save $Rs.\, 2000$?

The sum of the first $n$ terms of an $A.P.$ is given by $S_{n} = \ldots \ldots \ldots \ldots$