Sequences

• Sequences are ordered lists of elements.
• A sequence is a discrete structure used to represent an ordered list.
• Each subsequent number in the sequence is found using a rule which involves the previous terms
• The first term of the sequence is called the initial term or starting value, denoted by 'a1'
• A sequence is an ordered collection of numbers
• A geometric progression is a sequence of the form a, ar, ar^2,..., ar^n, ...
• A geometric progression is a discrete analogue of the exponential function $f(x)=$$ar^x$
• An arithmetic progression is a sequence of the form a, a+d, a+2d,...a+nd
• abcd is a string of length four
• A recurrence relation is a mathematical relationship or equation that defines a sequence of values based on the values of previous terms in the sequence.