Sequences and Series

The difference between any two consecutive terms in an arithmetic progression or sequence is always the same. This holds true regardless of the progression or sequence in question. The difference between each successive term is represented by the symbol d, which stands for the common difference. An arithmetic progression is a set of numbers in […]

If we talk about the meaning and introduction of an arithmetic progression, ‘Arithmetic’ means mathematical numbers. On the other hand, ‘Progression’ is referred to as moving from one number to another. Let us take an example to clear this: 3, 5, 7, 9, 11, 13 are said to be mathematical numbers. If we are moving

A different name for this is the arithmetic sequence.  For instance, the sequence of natural numbers 1, 2, 3, 4, 5, 6,… is an example of an arithmetic progression.  This type of progression has a difference between any two consecutive terms (for example, 1 and 2) that is equal to 1*(2 -1).  Even when considering

The term-by-term multiplication of a geometric progression with the corresponding terms of an arithmetic progression produces an arithmetic–geometric sequence in mathematics. Simply put, the product of the nth term of an arithmetic sequence with the nth term of a geometric sequence is the nth term of an arithmetic–geometric series. Arithmetic–geometric sequences can be found in

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

An arithmetic progression is a numerical sequence or series in which each subsequent value is obtained by adding a constant to the first. The name given to this constant is the common difference. Because the last term in the sequence can be represented by an equation, such a numerical sequence is considered a progression. To

The concept of sequence and series is one of the most fundamental concepts in Arithmetic. A sequence is an itemised collection of components in which repetitions of any kind are permitted, whereas a series is the sum of all of the elements. Sequence and series are commonly used to describe arithmetic progression, which is one

The difference between any two consecutive terms in an arithmetic progression or arithmetic sequence is always the same. The common difference, denoted by  d, is the difference between the consecutive terms. An arithmetic progression is a set of numbers in which each term is derived from the one before it by adding or subtracting a

Fractions are used to express a portion of a whole. A fraction is a number expressed with the form p/q, where q is not zero or one. A fraction is consist of two components, a numerator which is on the top, and the denominator which is on the bottom. Because a fraction has a numerator and a denominator that is separated by a