to indicate the nth term of a sequence.
would be the 18th
term.Review of Sequences and Series
A sequence is a string of numbers where the next number is always found the same way.
An arithmetic sequence is a sequence where any two consecutive terms have the same difference.
A geometric sequence is a sequence where any two consecutive terms have a common ratio.
Your
textbook uses
to indicate the nth term of a sequence.
would be the 18th
term.
The
formula for an arithmetic sequence is
,
where d
is the common difference between any two consecutive terms.
The
formula for a geometric sequence is
,
where r
is the common ratio between any two consecutive terms.
A series is the sum of some or all of the terms in a sequence.
The
sum of an arithmetic series is
or
The
sum of a geometric series is
or
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