Sequence and Series – Notes
Sequence and Series
A collection of numbers arranged in a defined order according to some definite rule is called a sequence.
The members or numbers that are listed in a sequence are called its terms.
If the number of terms in a sequence is finite or countable, then it is called a finite sequence.
If the sequence goes on forever or has an uncountable number of terms, then it is called an infinite sequence.
The expression obtained on adding the terms of a sequence is called a series.
A series is finite if the sequence is finite and infinite if the sequence is infinite.