Question 1 :
If the sequence $a_{1}, a_{2}, a_{3}, ....$ is in A.P., then the sequence $a_{5}, a_{10}, a_{15}, ....$ is
Question 3 :
The first term of an A.P is $5$ and its $100$th term is $-292$, then $50$th term is
Question 4 : <p>Identify which of the following list of numbers is an arithmetic progression?</p>
Question 5 :
Constant is subtracted from each term of an A.P. the resulting sequence is also an ______
Question 6 :
How many terms of the sequence $18, 16, 14,....$ should be taken so that their sum is zero?
Question 7 :
What is the first four terms of the A.P. whose first term is $-1$ and common difference is $0.5$?
Question 8 :
Is $51$ a term of the AP, $5, 8, 11, 14,........?$
Question 9 :
Four consecutive terms of aprogression are 38, 30, 24, 20. The next term of the progression is
Question 10 :
In the A. P. 5, 7, 9, 11, 13, .............. the sixth term which is prime is ...............
Question 11 :
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 12 :
Between $1$ and $31$, $m$ numbers has been inserted in such a way that the resulting sequence is an A.P. and the ratio of $7^{th}$ and $(m-1)^{th}$ number is $5:9$ Find the value of $m$.
Question 14 :
If $a, b, c$ are in A.P. $b - a, c - b$ and $a$ in G.P., then $a:b:c$ is
Question 15 :
If the sum of $7$ consecutive numbers is $0$, what is the greatest of these numbers?
Question 17 :
If k + 2, k, 3k - 2 are three consecutive terms of A.P., then k = .................
Question 18 :
Show that the sequence defined by $a_n = 5n -7$ is an AP. Also, find its common difference.
Question 19 :
If $a, b, c$ are in A.P. then $\dfrac {a - b}{b - c}$ is equal to
Question 20 :
If $8^{th}$ term of an A.P is $15$, then the sum of $15$ terms is
Question 24 :
How many terms of the series $54+51+48+45+.......$ must be taken to make $513$?
Question 25 :
If the first 10 alphabet are removed and attached at the end of the alphabet series the fifth letter from the begining is -
Question 26 :
If the sum of the first n terms of an AP is given by $S_n=n^2+3n$, then the first term of the AP is
Question 27 :
If the average of the first $n$ number in the sequence $148,146,144,........$ is $125$, then $n=$
Question 30 :
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 31 :
What is the function for the arithmetic sequence $1, 3, 5, 7, 9, 11...?$<br/>
Question 32 :
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 33 :
$\sum\limits_{i = 1}^n {\sum\limits_{j = 1}^i {\sum\limits_{k = 1}^j 1 } } $ is equal to
Question 35 :
The first and the last term of A.P. are $7$ and $630$ respectively. If the common difference is $7$, how many terms are there and what is their sum?
Question 36 :
What is the sum of  $t_n= (2n-5)$  from n =10 to 150?<br/>
Question 37 :
Which term of the AP : 3, 8, 13, 18,........, is<br>78 ?<br>
Question 38 : <p>State true or false For any arithmetic progression, when a fixed number is added or subtracted to each term, the resulting sequence still remains an A.P. with the common difference remaining unchanged.</p>
Question 39 :
What is the common difference of the new arithmetic progression formed after $4$ is divided from each of the term of the arithmetic progression $20, 28, 36, 44, ...$
Question 40 :
The $9th$ term of an AP is $499$ and $499th$ terms is $9.$ The term which is equal to zero is 
Question 42 :
Find the next term of the sequence:<br/>$4, 3, 2, 1, ..........$
Question 43 :
What is the function for the arithmetic sequence $3, 4, 5, 6, 7...?$<br/>
Question 44 :
If sum of $n$ terms of A.P. is $476,$ last term $= 20, n = 17$, then the first term is :
Question 45 :
What is the first four terms of the A.P. whose first term is $3$ and common difference is $5$?
Question 46 :
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 47 :
A sequence in which the difference between any two consecutive terms is a constant is called as<br>
Question 48 :
The mean of the terms $1,2,3,... 20$ in an arithmetic progressions is?
Question 50 :
Find the function for the arithmetic sequence $11, 22, 33, 44...$.<br/>
Question 51 :
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 52 :
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 53 :
If $\dfrac{{2x}}{{1 + \dfrac{1}{{1 + \dfrac{x}{{1 - x}}}}}} = 1$ then find the value of $\dfrac{{x + 1}}{{4x - 2}}$
Question 54 :
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/>
