Sequences and Series

The relationship between the arithmetic mean and geometric mean gives the arithmetic mean greater than the geometric mean of any two given numbers. The arithmetic mean of two numbers is the mean value of the two numbers that satisfy the arithmetic progression series. The geometric mean of two numbers is the square root of the […]

Arithmetic progression (AP) is a series of numbers obtained by adding a constant value to the preceding term, also known as an arithmetic sequence. For example, the series of all odd natural numbers 1, 3, 5, 7, 9…. is an AP, where 1 is the first term of the series. This is because 1 is

Introduction An Arithmetic Progression is a special type of mathemcatical sequence that has varied applications in daily life. It is a special sequence where the consecutive elements vary by a constant difference. In the following module we learn the various concepts associated with Arithmetic Progressions. What is Arithmetic Progression? Series are a group of numbers

Scoring high in the IIT JEE Main exam is a dream of many, which requires dedicated efforts and continuous practice to shine like a star. To help you in your preparation journey and make the ride smoother for you, Unacademy has come up with a range of chapters and topics which will help you understand

An arithmetic progression, often known as an AP, can be defined in two different ways: A sequence known as an arithmetic progression is one in which the differences between each pair of succeeding terms are identical. To give only one illustration, the numbers 1, 5, 9, 13, 17, 21, 25, 29, 33,… has a =

What Is the Correlation Coefficient? The term correlation coefficient is a statistical measure of the strength of the relationship between the relative movements of two variables. The values fall between -1.0 and 1.0. There will be an error in the correlation measurement if the estimated number is larger than or less than 1.0. A perfect

Understand the semantics of the decimal and hexadecimal number systems before converting numbers from decimal to hexadecimal. The base of a decimal number system, also known as a radix, is ten. As a result, it has ten symbols, which are the numerals 0 through 9, i.e. 0, 1, 2, 3, 4, 5, 6, 7, 8,

A list of numbers presented in a certain order is called a sequence.  The terms of the sequence are the numbers that are included in the list.  The accumulation of all of the terms in a sequence results in a series. Sequence and series are both analogous to sets. However, the key distinction between the

The term “descending order” refers to the process of ordering any data, such as numbers, alphabets, amounts, lengths, and so on, from the highest to the lowest. To put it another way, when we arrange items in a descending order from a higher value to a lower value, we are referring to them as being

The Romans were the first to employ a unique sort of numerical system known as Roman numerals. This is a subtractive and additive system in which letters represent certain base numbers in the number system and are represented by a different combination of letters or symbols. This method uses various or specific letters from the