Question 1 :
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 2 :
Constant is subtracted from each term of an A.P. the resulting sequence is also an ______
Question 3 :
If the sequence $a_{1}, a_{2}, a_{3}, ....$ is in A.P., then the sequence $a_{5}, a_{10}, a_{15}, ....$ is
Question 4 :
_____ is a list of numbers in which each term is obtained by adding a fixed number to the preceding term except the first term.
Question 5 :
In the A. P. 5, 7, 9, 11, 13, .............. the sixth term which is prime is ...............
Question 7 :
The $9th$ term of an AP is $499$ and $499th$ terms is $9.$ The term which is equal to zero is 
Question 10 :
Is it an AP?<br/><br/>$1, 4, 7, 10, 13, 16, 19, 22, 25, ...$
Question 11 :
Which term of the sequence $ 3, 8, 13, 18, ........$ is $498$.
Question 12 :
The following consecutive terms $\dfrac {1}{1 + \sqrt {x}}, \dfrac {2}{1 - x}, \dfrac {1}{1 - \sqrt {x}}$ of a series are in
Question 14 :
If the sum of $n$ terms of an AP is $\displaystyle { 3n }^{ 2 }-n$ and its common difference is $6$, then its first term is 
Question 15 :
If the nth term of an AP is $\dfrac{3+n}{4} $, then its 8th term is<br/>
Question 16 :
Show that the sequence defined by $a_n = 5n -7$ is an AP. Also, find its common difference.
Question 17 :
In an A.P. the $p^{th}$ term is q and $q^{th}$ term is p, then its $r^{th}$ terms is
Question 18 :
Four consecutive terms of aprogression are 38, 30, 24, 20. The next term of the progression is
Question 19 :
If $p, q$ and $r$ are in A. P. then which of the following statements is correct?
Question 20 :
If the average of the first $n$ number in the sequence $148,146,144,........$ is $125$, then $n=$
Question 21 :
If a, b, c and d are in harmonic progression, then $\displaystyle\frac{1}{a}$,$\displaystyle\frac{1}{b}$,$\displaystyle\frac{1}{c}$ and$\displaystyle\frac{1}{d}$, are in ______ progression.
Question 23 :
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 24 :
The sum of six consecutive numbers is $150$. Find the first number
Question 25 :
What is the first four terms of the A.P. whose first term is $3$ and common difference is $5$?
Question 26 :
A sequence in which the difference between any two consecutive terms is a constant is called as<br>
Question 27 :
How many terms of the series $54+51+48+45+.......$ must be taken to make $513$?
Question 28 :
Is $51$ a term of the AP, $5, 8, 11, 14,........?$
Question 29 :
The sum of the first four terms of an AP is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms.
Question 30 :
If the first 10 alphabet are removed and attached at the end of the alphabet series the fifth letter from the begining is -
Question 31 :
What is the function for the arithmetic sequence $3, 4, 5, 6, 7...?$<br/>
Question 32 :
If k + 2, k, 3k - 2 are three consecutive terms of A.P., then k = .................
Question 33 :
The sum of an A.P. whose first term is a, second term is b and the last term is c is equal to $\dfrac{(a+c)(b+c+2a)}{2(b-a)}$.
Question 34 :
If a,b,c are distinct and the roots of (b-c)$x^{2}$ + (c-a) x + (a-b) = 0 are equal ,then a,b,c are in
Question 36 :
The mean of the terms $1,2,3,... 20$ in an arithmetic progressions is?
Question 39 :
What is the function for the arithmetic sequence $1, 3, 5, 7, 9, 11...?$<br/>
Question 40 :
What is the number of terms in the series $117, 120, 123, 126,.., 333$ ?
Question 41 :
If a constant is added to each term of an A.P. the resulting sequence is also an ______
Question 42 :
If the sum of $7$ consecutive numbers is $0$, what is the greatest of these numbers?
Question 43 :
Let $m$ and $n$ $(m<n)$ be the roots of the equation $x^2-16x+39=0$. If four terms $p,q,r$ and $s$ are inserted between $m$ and $n$ form an $AP$, then what is the value of $p+q+r+s?$
Question 45 :
The sum of the first $22$ terms of the A.P. $8, 3, -2, ..........$ is 
Question 46 :
If the common difference of an A.P. is $3$, then $a_{20}-a_{15}$ is<br/>
Question 47 :
In the word 'Albuquerque' if we assign a number to the letters, equal to the number of times the letter is used in the word. The sum of the number would be -
Question 48 :
Find out whether the sequence $1^2, 3^2, 5^2, 7^2$,... is an AP. If it is, find out the common difference.
Question 49 :
Find the $20th$ term from the last term of the AP $3,8, 13,....253.$
Question 50 :
Find the function for the arithmetic sequence $11, 22, 33, 44...$.<br/>
Question 53 :
The sum up to $9$ terms of the series $\displaystyle \frac{1}{2}+\frac{1}{3}+\frac{1}{6}+ ...$ is<br/>
Question 54 :
Calculate the sum of even numbers between 100 and 150 which are divisible by 13.
Question 55 :
Calculate the sum of even numbers between $12$ and $90$ which are divisible by $8$.
Question 56 :
In an A.P. if $\displaystyle S_{1}= T_{1}+T_{2}+T_{3}+\cdots +T_{n}$ (n odd) , $\displaystyle S_{2}= T_{1}+T_{3}+T_{5}+\cdots +T_{n},\:then\:S_{1}/S_{2}= $
Question 58 :
$M$ is a set of six consecutive even integers. When the least three integers of set $M$ are summed, the result is $x$. When the greatest three integers of set $M$ are summed, the result is $y$. Mark the true equation.
Question 59 :
A cricketer has to score $4500$ run. Let$a_{n}$ denotes the number of run he scores in the $n^{th}$ match. If $a_{1}=a_{2}=......=a_{10}=150$ and $a_{10},a_{11},a_{12}$,... are in A.P. with common difference -2, then find the total number of matches played by him to score 4500 runs
Question 60 :
The sum of the series $2,5,8,11,....$ is $60100$, then $n$ is :
Question 61 :
How many terms of the series $54, 51, 48,......$ be taken so that their sum is $513$?
Question 62 :
The sum of all odd integers between $2$ and $50$ divisible by $3$ is
Question 63 :
The sum of $n$ terms of an A.P. is $4n^2-n$. The common difference $=$ ____
Question 64 :
If the sum of five consecutive positive integers is $'A'$, then the sum of the next five consecutive in terms of $'A'$ is 
Question 65 : Find the sum of first 32 terms of the arithmetic series if $a_1 = 12$ and $a_{32} = 40$.<p></p>
Question 66 :
Find the sum of first 25 terms of an A.P. whose $n^{th}$ term is given by $T_n = (7 - 3n)$
Question 69 :
The sum of the series $\displaystyle \left(4-\frac{1}{n}\right)+\left(4-\frac{2}{n}\right)+\left(4-\frac{3}{n}\right)+\cdots$ upto $n$ terms is
Question 70 :
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 72 :
If $\dfrac{{2x}}{{1 + \dfrac{1}{{1 + \dfrac{x}{{1 - x}}}}}} = 1$ then find the value of $\dfrac{{x + 1}}{{4x - 2}}$
Question 73 :
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 77 :
If $p, q, r, s, t$ and $u$ are in AP, then difference $\left( t-r \right) $ is equal to
Question 78 :
The sum of $n$ terms of an arithmetic series is $S_n = 2n - n^2$. Find the first term and the common difference.
Question 79 :
If $-5, k, -1$ are $AP$, then the value of $k$ is equal to
Question 80 :
Let $a_{1}, a_{2}, ...., a_{10}$ be in $AP$ and $h_{1}, h_{2}, ...., h_{10}$ be in $HP$. If $a_{1} = h_{1} = 2$ and $a_{10} = h_{10} = 3$. Then, $a_{4}h_{7}$ is
Question 81 :
If the sum of the first n terms of an A.P. is given by the equation $n^2 + 7n$, then what is the first term and second term?
Question 82 :
Find the $21^{st}$ term of an A.P. whose $1^{st}$ term is $8$ and the $15^{th}$ term is $120$.
Question 83 :
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 84 :
Which of the following can be one of the term in an Arithmetic progression $4,7,10,......$
Question 85 :
Which term of the AP $24, 21, 18, ..............$ is the first negative term. ?<br/>
Question 86 :
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 87 :
How many numbers lies between $100$ and $400$, which are exactly divisible by $11$.
Question 88 :
State True or False. If a, b, c are in A.P., then $b+c, c+a, a+b$ are also in A.P. <br/>
Question 89 :
The sum of first ten terms of a AP is four times the sum of its first five terms. Then ratio of first term and common difference is  
Question 90 :
If $S_n=n^2p$ and $S_m=m^2p, m\neq n$, in an A.P., then $S_p=p^3$.
Question 91 :
If a, b, c are in A.P., then the following are also in A.P.<br/>$a\left(\dfrac{1}{b}+\dfrac{1}{c}\right), b\left(\dfrac{1}{c}+\dfrac{1}{a}\right), c\left(\dfrac{1}{a}+\dfrac{1}{b}\right)$.<br/>
Question 92 :
If a, b, c are in A.P., then the following are also in A.P.<br/>$\dfrac{1}{bc}, \dfrac{1}{ca}, \dfrac{1}{ab}$.<br/>
Question 93 :
The first and last terms of an A.P of n terms is 1, 31 respectively. The ratio of $8^{th}$ term and $(n-2)^{th}$ term is 5:9, the value of n is:<br>
Question 94 :
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 95 :
In a sequence, if $S_n$ is the sum of the first n terms and $S_{n-1}$ is the sum of the first (n-1) terms, then the $n^{th}$ term is
Question 96 :
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 97 :
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 98 :
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 100 :
The real numbers $x_1, x_2, x_3$ satisfying the equation $x^3 - x^2 + \beta x + \gamma = 0$ are in A.P.<br/><br/>All possible values of $\gamma$ are
