Sequences and Series

A geometric progression (GP) is one in which each term has a constant ratio to the one before it. It’s a unique kind of progression. Every time we want to find the next term in the geometric sequence, we must multiply with a fixed term known as the common ratio and we must divide the […]

When a series of numbers is arranged to progress to a constant ratio with its succeeding term, it is called an arithmetico geometric series or simply the G.P series. The constant ratio at which the series progresses is called the series’s common ratio (r). The common ratio is calculated by dividing the succeeding term with

The sum of n terms of a GP series is calculated using simple formulas. However, it is possible to calculate the sum of infinite terms of the GP. One of the properties of a GP series is that when there are infinite terms in a series and the common ratio is less than one, the

Arithmetic and geometric progression or AGP is a type of progression where every term represents its product of the terms. Hence, both these progressions are summed up together to form AGP. In simple words, arithmetic and geometric series are constructed by multiplying corresponding terms of geometric and arithmetic progression. For example, you can say 13

Introduction In mathematics, the A.M, G.M, and H.M hold a special value as these three represent the average value of the particular series. All these means have a special purpose and definition in Math. Along with these three means, the relation between A.M and G.M also holds a special intention to outburst the inequality among

In mathematics, the A.M, G.M, and H.M hold a special value as these three represent the average value of the particular series. All these means have a special purpose and definition in Math. Along with these three meanings, the relation between A.M and G.M also holds a special intention to outburst the inequality among these.

Each term in a geometric sequence or progression is equal to the previous term multiplied by the common factor, which is a constant non-zero multiplier. Geometric sequences can have a finite number of terms or an infinite number of terms. The terms of a geometric sequence can quickly become very large, very negative, or very

 number sequence is a set or series of numbers that follow a specific pattern or a rule as it progresses. Such a sequence is a geometric sequence if the rule it follows is to multiply or divide the following number in the series each time. Thus, this number multiplied or divided at each stage of

A geometric progression is a series in which any element after the primary is derived by multiplying the preceding element by a constant known as the common ratio, indicated by r. For example, the numbers 1, 2, 4, 8, 16, 32… maybe a geometric sequence with r = 2. In this case, the next number

A geometric progression or sequence and also known as a geometric series is a sequence of numbers in which the quotient of any two succeeding members of the sequence is a constant called the sequence’s common ratio. The formula x sub n equals a times r to the n – 1 power, where an is