 # 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. 