Pattern in a Sequence

A sequence is an ordered list of numbers. Each number in a sequence is called a term

'n' is the position of the term in the sequence and y is the value of the term

In an arithmetic sequence, the same amount is added each time to get the next term in the sequence

In a geometric sequence, each term is multiplied by the same amount to get the next term in the sequence

Some sequences are neither arithmetic nor geometric. Such sequences follow a unique pattern other than simple addition or multiplication

When the sequence follows a pattern, the terms in the sequence are the output values of a function

The value of each term depends on its position in the sequence

For example, for the sequence 2, 4, 6, 8, each term is given by 2 x n.
First term = n x 1 = 2 x 1 = 2
Second term = n x 2 = 2 x 2 = 4. So, 15th term is given by n x 2 = 15 x 2 = 30