Question

Difference between Sequence and Series

a) A sequence is a set of ordered elements, while a series is the sum of the elements in a sequence.

b) A sequence is the sum of elements, while a series is a set of ordered elements.

c) Sequence and series are interchangeable terms.

d) A sequence is a set of unordered elements, while a series is the ordered arrangement of those elements.

Answer 1

A sequence is a set of ordered elements, and a series is the sum of those elements in a sequence, with option a) representing the correct description of the difference between them.

Step-by-step explanation:

The difference between a sequence and a series is fundamental in mathematics, particularly in the study of calculus and discrete math. Option a) accurately describes the difference between the two concepts.

A sequence is a set of ordered elements. For example, the natural numbers 1, 2, 3, ... form a sequence because there is an order to the elements, and each element has a specific position within that set.

A series, on the other hand, represents the sum of elements in a sequence. Using the previous example of natural numbers, if we were to add them together (1 + 2 + 3 + ...), the result would be a series.