8-1: arithmetic sequences and series unit 8: sequences/series/statistics english casbarro
TRANSCRIPT
8-1: Arithmetic 8-1: Arithmetic Sequences and SeriesSequences and Series
8-1: Arithmetic 8-1: Arithmetic Sequences and SeriesSequences and Series
Unit 8: Sequences/Series/StatisticsUnit 8: Sequences/Series/Statistics
English CasbarroEnglish Casbarro
Arithmetic Sequence
An arithmetic sequence is a set of numbers where the difference is constant.
Common difference: the difference between the numbers of an arithmetic sequence.
Arithmetic mean: the average of 2 numbers.
aann = = aa11 + (+ (nn – 1) – 1)dd for for n n >> 1 1
You must know how to identify if a sequence is arithmetic.
An Arithmetic Series is a series whose terms form an arithmetic sequence. When a series isfinite, it has a sum.
= +( )n n
nS a a12
If the explicit formula is linear, then the series is arithmetic, and the slope is the common difference between the terms.