Introduction to AP
Sequences, Series and Progressions
- A sequence is a finite or infinite list of numbers following a certain pattern. For example: 1, 2, 3, 4, 5… is the sequence, which is infinite sequence of natural numbers.
- A series is the sum of the elements in the corresponding sequence. For example: 1 + 2 + 3 + 4 + 5…. is the series of natural numbers. Each number in a sequence or a series is called a term.
- A progression is a sequence in which the general term can be can be expressed using a mathematical formula. For Example: 2, 4, 6, 8,…. is a arithmetic progression because number are even natural numbers
