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Presentation transcript:

Where to find your assignment if you lost your sheet… Website www Where to find your assignment if you lost your sheet… Website www.msfowlsmath.weebly.com Gradelink Extra copies in classroom Phone/text a friend

Where to go for extra help… Class Website www. msfowlsmath. weebly Where to go for extra help… Class Website www.msfowlsmath.weebly.com Khan Academy website www.khanacademy.org Lunch Time Crunch Time Study time on Mondays @ lunch in my classroom

3-4 Arithmetic Sequences Sequence: A set of numbers, called terms, in a specific order. Arithmetic Sequence: A numerical pattern that increases or decreases at a constant rate or value called the common difference (difference between the terms). 1,4,7,10… 1 + 3 = 4 4 + 3 = 7 7 + 3 = 10

Determine whether each sequence is arithmetic. Justify your answer. -15, -13, -11, -9,… yes, the difference is +2 each time No, the difference is not constant each time.

Find the next 3 terms of the sequence. -8, -11, -14, -17,… What is the common difference? -3 What are the next 3 terms? -20, -23, -26 Now look at the table set up on page 166. It leads to a formula that is useful in finding any term in an arithmetic sequence.

nth Term of a Sequence The nth term an of an arithmetic sequence with first term a1 and common difference d is given Where n is a positive integer.

Find the 9th term in the sequence 7, 11, 15, 19 What is a1? 7 What is n? 9 What is d? +4

Consider the sequence -8, 1, 10, 19,… Write an equation for the nth term of the sequence. Find the 12th term. Find the 35th term.

Try these – page 168 #1-9 odd, 10 1. Yes, -8 3. 35, 42, 49 5. 31 7. 45 3. 35, 42, 49 5. 31 7. 45 9. the seventh week 10. an = 6n