Question

What is sequence?

Answer 1

Hint: A sequence is an ordered list of numbers while series is the sum of the terms of a sequence. It is an arrangement of any objects or a set of numbers in a particular order followed by some rule or some particular closed formula.

Complete step-by-step answer:
Sequence: A sequence is an ordered list of numbers while series is the sum of the terms of a sequence. Therefore, sequence is an arrangement of any object or a set of numbers in a particular order followed by some rule or some particular closed formula.
 In other words, a sequence is an ordered set with members called terms, usually, the terms are numbers. The terms of a sequence are usually denoted by \[{a_1},{a_2},{a_3},{a_4},....\] etc.
 Note that a sequence can have infinite terms. The sequence can be defined based on the number of its terms as either finite sequence or infinite sequence.
 Few examples of sequence are:
1, 2, 3, 4, 5, 6, 7, 8, ....
 1, 1, 2, 3, 5, 8, 13, ....
 1, 4, 9, 16, 25, 36, ....
 1, 4, 7, 10, 13

Note: A sequence is an ordered list of numbers while series is the sum of the terms of a sequence.
If \[{a_1},{a_2},{a_3},{a_4},....\] is a sequence, then the corresponding series is given by
 \[{S_n} = {a_1} + {a_2} + {a_3} + {a_4} + .... + {a_n}\]
 The series is finite or infinite depending if the corresponding sequence is finite or infinite.