Question 1 :
If $8^{th}$ term of an A.P is $15$, then the sum of $15$ terms is
Question 2 :
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 3 :
Four consecutive terms of aprogression are 38, 30, 24, 20. The next term of the progression is
Question 4 :
Which term of the progression 5, 8, 11, 14, .....is 320?
Question 5 :
Calculate the sum of even numbers between $12$ and $90$ which are divisible by $8$.
Question 6 :
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 7 :
The angles of a triangle are in AP and the least angle is $30^o$. The greatest angle in radians is:
Question 8 :
In a sequence, if $\displaystyle t_n=\frac{n^2-1}{n+1}$, then find the value of $S_6-S_3$.
Question 9 :
If the sum of first p terms, first q terms and first r terms of an A.P . be a, b and c respectively, then $\dfrac {a}{p}(q-r)+\dfrac {b}{q}(r-p)+\dfrac {c}{r}(p-q) $ is equal to
Question 10 :
The $8^{th}$ term of the sequence $1, 1, 2, 3, 5, 8, ....$ is
Question 11 :
If the sum of the roots of the equation $ax^{2} + bx + c = 0$ is equal to sum of the squares of their reciprocals, then $bc^{2}, ca^{2}, ab^{2}$ are in
Question 12 :
For $\displaystyle \dfrac{2^{2}+4^{2}+6^{2}+....(2n)^2}{1^{2}+3^{2}+5^{2}+....+(2n-1)^{2}} $ to exceed 1.01,the maximum value of n is<br>