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 :
Is it an AP?<br/><br/>$1, 4, 7, 10, 13, 16, 19, 22, 25, ...$
Question 3 :
If $8^{th}$ term of an A.P is $15$, then the sum of $15$ terms is
Question 4 :
Find the number of terms in an A.P. : -1, -5, -9 .......... - 197
Question 6 :
$\quad \left( 1-\cfrac { 1 }{ n } \right) +\left( 1-\cfrac { 2 }{ n } \right) +\left( 1-\cfrac { 3 }{ n } \right) +....upto\quad n\quad terms=$?
Question 7 :
If $a, b, c$ are in A.P. then $\dfrac {a - b}{b - c}$ is equal to
Question 9 :
The first term of an A.P is $5$ and its $100$th term is $-292$, then $50$th term is
Question 12 :
In a sequence, if $\displaystyle t_n=\frac{n^2-1}{n+1}$, then find the value of $S_6-S_3$.
Question 13 :
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 15 :
The sum of $n$ terms of an arithmetic series is $S_n = 2n - n^2$. Find the first term and the common difference.
Question 17 :
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
Question 19 :
Let $a_1, a_2, a_3,...,a_n$ be in A.P. If $a_3+a_7+a_{11}+a_{15}=72$, then the sum of its first $17$ terms is equal to.
Question 20 :
If $9k -6,\ 5 k - 4\ , 6k - 17\ $ are in AP then the value of k is