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

The Greek letter, sigma, is used to signify a sum.

If the explicit formula is linear, then the series is arithmetic, and the slope is the common difference between the terms.