Question Text
Question 2 :
Find the function for the arithmetic sequence $11, 22, 33, 44...$.<br/>
Question 4 :
If $a, b, c$ are in A.P. then $\dfrac {a - b}{b - c}$ is equal to
Question 5 :
If $7th$ and $13th$ terms of an $A.P$. Be $34$ and $64$, respectively, then its $18th$ terms is:
Question 6 :
Prove that:$\displaystyle a_{n^{2}+1}=\left ( n^{2}+1^{2} \right )-\left ( n^{2}+1 \right )+1=\left ( n^{2}+n+1 \right )\left ( n^{2}-n+1 \right )=$
Question 7 :
If the roots of the equation $\left( b-c \right) x^{ 2 }+\left( c-a \right) x+\left( a-b \right) =0$ are equal, then a,b,c will be in-
Question 8 :
Calculate the sum of the following arithmetic series: $1 + 5 + 9 + 13 + 17 + ...... to\  30 $ terms.<br/>
Question 9 :
If the third term of an $A.P.$is $7$and its $7^{th}$term is $2$more than three times of its $3^{rd}$term, then sum of its first $20$terms is-
Question 11 :
The numbers $3^{ 2sin 2\theta-1}, 14, 3^{4-2 sin 2\theta}$ form the first three terms of an A.P. Its fifth term is equal to-
Question 12 :
Let $a_{1},\ a_{2},\ a_{3},\ \ldots,\ a_{100}$ be an arithmetic progression with $a_{1}=3$ and $S_{p}$  is sum of 100 terms . For any integer $n$ with $1\leq n \leq 20$, let $ m=5n$. If $\dfrac{S_{m}}{S_{n}}$ does not depend on $n$, then $a_{2}$ is<br/>
