Product of an Infinite Series

What does П mean?

The symbol П is called pi. It is used to denote the product of infinite series. for example, 4Пi=1.2.3.4=24 .

What is the infinite series formula?

The formula for the infinite series is S=a/(1-r), where a is the first term and r is the common ratio.

What is the infinite product of a sequence?

An infinite product is a sequence of numbers (usually real or complex ( a _k ) _{k ∈ N} written as ∏_(k=0)^∞ a_k .

What is the meaning of ∑ ?

The symbol ∑ is known as sigma. It is used to denote the sum of an infinite series.

What is infinity?

Infinity is a concept, not a number. You can make an approach to reach infinity by counting higher and higher values, but you will never actually reach to it.

Who invented the symbol of infinity?

The symbol of infinity is ∞ , a horizontal 8. It was discovered by the British mathematician John Wallis in 1655.

Can an infinite product be zero?

The value of a Convergent infinite product can be zero, if and only if finite number of factors of the sequence is zero.

Infinite product is a mathematical expression that represents the product of an infinite sequence of terms. Infinite series is a mathematical expression of an infinite number of terms which are arranged in a specific relation like sum or products. This number of terms are mainly in the form of numbers, functions and quantities. For example, ( a₁+a₂+a₃+a₄+…+a_n+.. ) is an infinite series. It has applications in disciplines such as mathematics, physics, chemistry, biology, computer science, etc.

In this article, we will discuss in detail the infinite series, the product of the infinite series, its calculations, and other topics related to it.