Question 1 :
The first term of an AP is 3 and the last term is 17. If the sum of all terms is 150, what is 5th term ?

Question 2 :
The sum of $n$ terms of an A.P. is $4n^2-n$. The common difference $=$ ____

Question 3 :
State True or False. If a, b, c are in A.P., then&#160;$b+c, c+a, a+b$&#160;are also in A.P. <br/>

Question 4 :
The sum of $n$ terms of an arithmetic series is $S_n = 2n - n^2$. Find the first term and the common difference.

Question 6 :
If the $p^{th},q^{th},r^{th}$ and $s^{th}$ terms of an A.P. are in G.P,. then $ p-q, q-r, r-s $ are in

Question 8 :
The least value of $n$ such that $1+3+5+7....n$ terms $\ge 500$ is

Question 9 :
Assertion: $\displaystyle a_{1}, \: a_{2}, \: a_{3}, \: ....., \: a_{n}$ are in AP<br><br>STATEMENT-1:- $\displaystyle \frac{1}{a_{1}a_{n}} + \frac{1}{a_{2}a_{n-1}} + \frac{1}{a_{3}a_{n-2}}+ .....+\frac{1}{a_{n}a_{1}} = \frac{2}{a_{1} + a_{n}}\left ( \frac{1}{a_{1}} + \frac{1}{a_{2}} + \frac{1}{a_{3}} + ... + \frac{1}{a_{n}} \right )$ Reason: STATEMENT-2 : - $\displaystyle a_{1} + a_{n} = a_{r} + a_{n - r}$ for $\displaystyle 1\leq r\leq n$

Question 10 :
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 11 :
The sum of positive terms of the series $ \\ \displaystyle10+9\frac { 4 }{ 7 } +9\frac { 1 }{ 7 } +...$ is :

Question 13 :
The first term of an $A.P.$ of consecutive integers is $(p^2+1)$. The sum of $(2p+1)$ terms of this series can be expressed as