Question Text
Question 1 :
Find first term 'a' and common difference 'd' for the following AP.<br/><br/>$\sqrt{2}$, $\sqrt{8}$, $\sqrt{18}$, <span>$\sqrt{32}$,.....</span>
Question 2 :
The $4^{th}$ term of an AP is $14$ and its $12^{th}$ term is $70$. What is its first term?
Question 3 :
The common difference of the AP $\dfrac{1}{P}, \dfrac{1-P}{P}, \dfrac{1-2 P}{P}$, .......... is:<br/>
Question 4 :
Find the number of terms in an A.P. : -1, -5, -9 .......... - 197
Question 5 :
Let $S_{n}$ denotes the sum of first $n$ terms of an AP. If $S_{4} = -34, S_{5} = -60$ and $S_{6} = -93$, then the common difference and the first term of the AP are respectively.
Question 6 :
If four number in A.P are such that their sum is 50 and the greatest number is 4 times the least then the number are
Question 7 :
In a geometric progression the first term, the last term and the common ratio are $1,64$ and $2$ respectively. What is the sum of all terms of the progression.
Question 9 :
If $a_{1}, a_{2}, a_{3}, ....$ are in A.P. such that $\dfrac {a_{4}}{a_{7}} = \dfrac {3}{2}$, then the $13^{th}$ of the A.P. is