Question 1 :
If the common difference of an A.P. is $3$, then $a_{20}-a_{15}$ is<br/>
Question 2 :
The $4th$ term from the end of the AP<br/>$-11, -8, -5, ....................49$  is
Question 3 :
Write the sum of  first five terms of the following Arithmetic Progressions where, the common difference $d$ and the first term $a$ are given: $a = 4, d = 0$
Question 4 :
Check whether the following form an AP$\sqrt{3} , \sqrt{12} , \sqrt{27} , \sqrt{48}$ , ...<br>
Question 5 :
If $a, b, c$ are in A.P. $b - a, c - b$ and $a$ in G.P., then $a:b:c$ is
Question 6 :
Strikers at a plant were ordered to return to work and were told they would be fined Rs. $50$ the first day they failed to do so, Rs. $75$ the second day, Rs. $100$ the third day, and so on. If the strikers stayed out for $6$ days, what was the fine for the sixth day?<br/>
Question 7 :
If $8^{th}$ term of an A.P is $15$, then the sum of $15$ terms is
Question 9 :
Which term of the A.P. 5, 12, 19, 26, ............ is 145<br>
Question 10 :
The number of zeros in the product of the first $100$ natural numbers is<br>
Question 11 :
An A.P. consists of $13$ terms of which $2^{nd}$ terms is $10$ and the last term is $120$. Find the $9^{th}$ term.
Question 12 :
If 9 times the $9^{th}$ term of an AP is equal to 13 times the $13^{th}$ term, then the $22^{nd}$ term of the AP is: 
Question 13 :
Ths sum to infinity of the series, $\displaystyle \:1+2\left ( 1-\frac{1}{n} \right )+3\left ( 1-\frac{1}{n} \right )^{2}+...$ is<br>
Question 14 :
Three numbers $x, y$ and $z$ are in arithmetic progressions. If $x + y + z = -3$ and $xyz = 8$, then $x^2 + y^2 + z^2$ is equal to
Question 15 :
If $\dfrac{{2x}}{{1 + \dfrac{1}{{1 + \dfrac{x}{{1 - x}}}}}} = 1$ then find the value of $\dfrac{{x + 1}}{{4x - 2}}$
Question 16 :
The sum of $n$ terms of an A.P. is $4n^2-n$. The common difference $=$ ____
Question 17 :
Consider two arithmetic series : <br>$\begin{array} { l } { A _ { 1 } : 2 + 9 + 16 + 23 + \ldots \ldots \ldots + 205 } \\ { A _ { 2 } : 5 + 9 + 13 + 17 + \ldots \ldots \ldots + 161 } \end{array}$<br>then the number of terms common to the two series is
Question 18 :
If $S_n=n^2p$ and $S_m=m^2p, m\neq n$, in an A.P., then $S_p=p^3$.
Question 19 :
In an A.P of which $a$ is the first term, if the sum of the first $p$ terms is zero, then the sum of the next $q$ term is:
Question 22 :
If the sum of the roots of the equation $ax^{2} + bx + c = 0$ is equal to sum of the squares of their reciprocals, then $bc^{2}, ca^{2}, ab^{2}$ are in
Question 23 :
If $\displaystyle I_{n}= \int_{0}^{\frac{\pi}2}\frac{\sin ^{2}nx}{\sin ^{2}x}dx,$ then $\displaystyle I_{1}, I_{2}, I_{2}, \cdots $ are in
Question 24 :
Assertion: There exists no A.P. whose three terms are $\sqrt 3, \sqrt 5$ and $\sqrt 7$.
Reason: If $t_p, t_q$ and $t_r$ are three distinct terms of an A.P., then $\frac {\displaystyle t_r-t_p}{\displaystyle t_q-t_p}$ is a rational number.
Question 25 :
In an A.P. of $n$ terms, $a$ is the first term, $b$ is the second last term and $c$ is the last term, then the sum of all of its term equals