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An ordered list of numbers is called a sequence, and each individual number is a term. Here is a simple sequence of consecutive even integers.
2, 4, 6, 8, 10.…
Here you may assume the next number of the sequence is 12, but often you can't make these assumptions.
Sequence Formula
Sequences use "subscript" which is small font at the foot of a letter.
Think of this as a mechanism that generates integer numbers and runs them through a function like a computer.
an = 5 + n
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Here the subscript n is defined by the rule 5 + n. So this sequence will be a series of multiples of integers + 5 starting with 1.
6, 7, 8, 9, 10, 11, 12... |
an = 5n
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Here the subscript n is defined by the rule 5n. So this sequence will be a series of multiples of 5:
5, 10, 15, 20, 25, 30... |
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