# Arithmetic Sequences and Series An Arithmetic Sequence is

• Slides: 20

Arithmetic Sequences and Series

An Arithmetic Sequence is defined as a sequence in which there is a common difference between consecutive terms.

Which of the following sequences are arithmetic? Identify the common difference. YES NO NO YES

e c n e r e f f i d n The commo e h t s y a w l a is y n a n e e w t e b e c n e r e f f di t a h t m r e term and th. m r e t t a h t s proceed Comm on Differe nce = 5

The general form of an ARITHMETIC sequence. First Term: Second Term: Third Term: Fourth Term: Fifth Term: nth Term:

Formula for the nth term of an ARITHMETIC sequence. If we know three any o ough f these we t to b to fin e ab le d the fourt h.

Given: Find: IDENTIFY SOLVE

Given: Find: What term number is -169? IDENTIFY SOLVE

Given: What’s the real question? IDENTIFY Find: The Difference SOLVE

Given: IDENTIFY Find: SOLVE

Arithmetic Series

Write the first thre e terms last two and the terms of the follow arithmet ing ic series. f o m u s e h t s i t a h W ? s e i r this se

50 Terms 71 + (-27) Each sum is the same.

Find the sum of the terms of this arithmetic series.

Find the sum of the terms of this arithmetic series. What term is -5?

f o m u s e h t r o f a l u Alternate form. s e i r e S c i t e m h t i r A an

Find the sum of this series It is not con venient to fi nd the last term.