Question Text
Question 2 :
The sum of $2$ consective numbers is $45$ find the numbers 
Question 4 :
If the common difference of an A.P. is $3$, then $a_{20}-a_{15}$ is<br/>
Question 5 :
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 7 :
What is the sum of all positive integers up to $1000$, which are divisible by $5$ and are not divisible by $2$?
Question 8 :
If$S_{r}$ denotes the sum of the first $r$ terms of an $AP$then$\dfrac{S_{3r}-S_{r-1}}{S_{2r}-S_{2r-1}}$ is equal to
Question 9 :
Assertion: Let the positive numbers $a, b, c $ be in A.P., then $\dfrac {1}{bc}, \dfrac {1}{ac}, \dfrac {1}{ab}$ are also in A.P.
Reason: If each term of an A.P. is divided by $abc$, then the resulting sequence is also in A.P.
Question 11 :
The sum of positive terms of the series $ \\ \displaystyle10+9\frac { 4 }{ 7 } +9\frac { 1 }{ 7 } +...$ is :
Question 12 :
If $9k -6,\ 5 k - 4\ , 6k - 17\ $ are in AP then the value of k is