Infinite Series
Definition
An infinite series is the sum of an infinite sequence of numbers. It is represented by adding up all the terms in the sequence, starting from the first term.
Analogy
Imagine you have a never-ending buffet table with different types of food. Each dish represents a term in the sequence, and when you add them all up, you get the total sum of the buffet.
Related terms
Convergent Series: A convergent series is an infinite series that has a finite sum. In other words, as you add more and more terms, the sum approaches a specific value.
Divergent Series: A divergent series is an infinite series that does not have a finite sum. As you add more terms, the sum keeps getting larger or smaller without approaching any specific value.
Geometric Series: A geometric series is a special type of infinite series where each term is obtained by multiplying the previous term by a constant ratio.
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