Sequences and Series

A sequence is a collection of different terms or elements or objects that have been arranged in a specific order. The sum of all the terms in a sequence can be used to generalize a series. An individual term in a sequence might appear multiple times in different positions. A sequence’s length is equal to […]

Introduction One of the important concepts of Arithmetic is sequence and series. A series is the sum of the elements in a sequence, whereas a sequence is the grouped arrangement of numbers methodically and according to specified principles. For example, if a four element sequence is 1, 3, 5, and 9, the corresponding series will

A sequence can be formally described as a function that maps natural numbers, which represent the positions of elements in the sequence, to the items that are located at each position in the series.  The concept of a sequence can be generalised to that of an indexed family, which is defined as a function going

One of the most essential notions in Arithmetic is the concept of sequence and series. Sequences are grouped arrangements of numbers that are done in an orderly manner according to some specified criteria, whereas a series is the sum of the components in a sequence. The following are some examples of four-element sequences: 2, 4,

When it comes to mathematics, a sequence is a list of objects (or events) that have been sorted in a sequential manner, with each item appearing either before or after every other member. To put it another way, in mathematical terms, a sequence is a function having a domain equal to the set of positive

Sequence and series are crucial topics in mathematics. A sequence is a  list of elements in which repetitions of any sort are allowed, whereas the sum of all elements is known as a series. For example, 2, 4, 6, 8, 10 is a sequence with five elements and the corresponding series will be 2+4+6+8+10, where

What is arithmetic progression (AP)? AP is said to be a sequence of series. Moreover, if we add or substrate a constant number in each term, we will get the same difference.  For instance, the series 11,13,14,16,18 is an arithmetic progression, as the difference between terms is the same, i.e. 2. However, a series like

The meaning of the word ‘sequence’ is a collection of objects such that it has known first member, second member, third member, fourth member and so on. A sequence is a function whose domain would be the set of natural numbers N or even a subset thereof. The numbers occurring in a sequence or progression

Math patterns are essentially sequences that repeat themselves according to a set of guidelines. A rule in mathematics can be defined as a predetermined method of calculating or solving a problem. Any type of event or object can be associated with a mathematical pattern in mathematics. A pattern is defined as a set of numbers

In order to form a sequence of numbers, some numbers are placed in a specific order and in accordance with a specific rule. The number occurring at the nth position is referred to as the nth term of an AP, and it is denoted by the letters Tn or an. When each term in a