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.