RozgarDesh (रोजगार देश)

Sequence and Series We have heard about sequence and Series. But before diving deep into Sequence and Series, let us understand what is a sequence and what is a series? There are cases where even a small discrepancy in measurements can lead to a big trouble. In all other cases, measuring something is made easier by approximations. And as mathematicians, we like to do that a lot! To measure a quantity x, let us write several approximations a1 , a2 , a3… where a2 is a better approximation of x than a1,a3 is better approximation of x than a2 and so on. This list of approximations that we just created is example of a sequence. Definition 1: A sequence is the set of the outputs of a function defined from the set of natural numbers to the set of real numbers or complex numbers. If the co-domain of the function is the set of real numbers, it is called a real sequence and if it is the set of complex numbers on the other hand, it is called a complex sequence. In very simple terms, a ...

Mixture and Alligation Mixture and alligation is an integral topic in the Quantitative section of the CAT exam. There are a lot of questions asked every year from this topic and thus, is very crucial from the examination point of view. So, here is an explanation of the Mixture and Alligation along with various illustrations to help the candidates learn the topic with ease. Definitions of Mixture and Alligation Here are some important definitions related to mixtures and alligation that would help to tackle the related questions with ease. Mixtures When two or more components are mixed in a certain ratio, a mixture is created. Types of mixtures Simple Mixtures: When two or more different ingredients are mixed together, a simple mixture is formed. Compound Mixtures: When two or more simple mixtures are mixed together, a compound mixture is formed. Alligation To understand the concept of alligations, let’s take an example and look at it from all angles possible. Examp...