©Evergreen Public Schools 2011 1 4/11/2011 8.1 Arithmetic Sequences Explicit Rules Vocabulary :...
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©Evergreen Public Schools 2011 1 4/11/2011 8.1 Arithmetic Sequences Explicit Rules Vocabulary: arithmetic sequence explicit form
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Transcript of ©Evergreen Public Schools 2011 1 4/11/2011 8.1 Arithmetic Sequences Explicit Rules Vocabulary :...
©Evergreen Public Schools 2011
14/11/2011
8.1 Arithmetic SequencesExplicit Rules
Vocabulary:arithmetic sequenceexplicit form
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Practice 7: Look for and make use of structure.
Practice 8: Look for and express regularity in repeated reasoning.
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Sequences 2 I can write an equation and find specific terms of an arithmetic sequence in explicit form.
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LaunchLaunchLaunchLaunch1. Complete the table and write
an equation to find the area of L(x).
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Find the next 3 terms.
Explain why it is or is not arithmetic.
I. 5, 8, 11, 14, ____ , ____ , ____, …
II. 3, 6, 12, 24, ____ , ____ , ____, …
III. 24, 19, 14, ____ , ____ , ____, …
IV. 2, 3, 5, 8, 12, ____ , ____ , ____, …
Which are arithmetic sequences?
Which are arithmetic sequences?
Sequence Notation
• L(x) is function notation• L(1) is the first term of the function.
• Ln is sequence notation.• L1 is the first term of the sequence
Question: How is sequence notation similar to function notation?
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Write rule and terms for each of the sequences
Write rule and terms for each of the sequences
Sequence Terms Equationan = 4, 7, 10, 13, … a5 =
a8 =
an = 8, _____, 20, 26, … a2 = a10 =
an = ___ , 30, 26, ___ , … a1 = a4 = a8 =
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Team PracticeTeam Practice
1. Find the explicit formula for 15, 12, 9, 6, . . .
2. Find the explicit formula for 5, 9, 13, 17, 21, . . .
3. Find a10, a35 and a82 for problem #2.
4. Find the explicit formula when a1 = 6 and rate of change = 2.
5. Find a10, a35 and a82 for problem #4.
6. Is 327 a term in the sequence 8, 13, 18, . . .?
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Did you hit the target?
Sequences 2 I can write an equation and find specific terms of an arithmetic sequence in explicit form.
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PracticePractice
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Ticket Out
An = 4(n – 1) + 7
Find A10
