List of top Mathematics Questions on Sequence and series asked in AIEEE

If the sum of the series $1^{2} + 2.2^{2} + 3^{2} + 2.4^{2} + 5^{2}+ ... 2.6^{2} +...$ upto n terms, when n is even, is $\frac{n\left(n+1\right)^{2}}{2}$, then the sum of the series, when n is odd, is

If $100$ times the $100^{th}$ term of an $A.P.$ with non zero common difference equals the $50$ times its $50^{th}$ term, then the $150^{th}$ term of this $A.P.$ is :

A man saves Rs. $200$ in each of the first three months of his service. In each of the subsequent months his saving increases by Rs. $40$ more than the saving of immediately previous month. His total saving from the start of service will be Rs. $11040$ after

A person is to count $4500$ currency notes. Let an denote the number of notes he counts in the nth minute. If $a_1 = a_2 = ...... = a_{10} = 150$ and $a_{10}, a_{11}, ......$ are in $A.P.$ with common difference $-2,$ then the time taken by him to count all notes is

In a geometric progression consisting of positive terms, each term equals the sum of the next two terms. Then the common ratio of this progression equals

If the expansion in powers of $x$ of the function $\frac{1}{\left(1-ax\right)\left(1-bx\right)}$ is $a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+ ..... ,$ then $a_n$ is :

The value of $\displaystyle \sum_{k=1}^{10}$$\left(sin\, \frac{2k\pi}{11}+i\,cos\, \frac{2k\pi}{11}\right)$ is :

The sum of the series $\frac{1}{1\cdot2}-\frac{1}{2\cdot3}+\frac{1}{3\cdot4}-...... $ upto $8$ is equal to