Recursive and explicit geometric sequences
[DOCX File]Step 1 Lesson Plan
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We want students to recognize patterns by writing recursive and explicit formulas. We want the students to identify and describe geometric and arithmetic sequences. We want the students to calculate arithmetic and geometric means. Objective/s-Be specific; prioritize; include higher-order objectives; be sure they are measurable.
[DOC File]Arithmetic and Geometric Sequences
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2, 6, 18, 54, … This is an increasing geometric sequence with a common ratio of 3. 1,000, 200, 40, 8, … This is a decreasing geometric sequence with a common ratio or 0.2 or . Geometric sequences can also be recursive or explicit. Remember recursive means you need the previous term and the common ratio to get the next term.
[DOCX File]Deer Valley Unified School District / Homepage
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(F-BF.2) Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms. OBJECTIVE. S: I can… Find terms for a sequence using a recursive formula. Write a recursive formula to represent a given sequence.
[DOC File]Geometric Sequences
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explicit formula . is a rule allowing direct calculation of any term in the sequence. The explicit formula for the nth term of an geometric sequence is an = a1 • r n – 1. In the Gizmo, set a1 = 8 and r = 0.6 and turn on . Show explicit formula. Use the explicit formula to find a7. Show your work in the space to the right.
[DOCX File]Mayfield City Schools
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Lesson 5-6: Recursive & Explicit Rules for SequencesDate _____ Learning Goals: I can. find terms of a sequence which is defined recursively or explicitly. I can. write explicit and recursive rules for sequences. I can. use the explicit and recursive rules to solve problems. I.Many patterns are found within Pascal’s Triangle.
[DOCX File]DRAFT/Algebra II Unit 3/ MSDE Lesson Plan/Modeling with ...
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Represent a real-life situation using arithmetic and geometric sequences in both explicit and recursive forms. ... Pre-assessment might also include writing of recursive and explicit rules for sequences, depending on whether or not this lesson is used as a culminating activity or an instructional .
[DOCX File]livelovedomath.weebly.com
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Determine an explicit expression and the recursive process (steps for calculation) from context. For example, if Jimmy starts off with $15 and earns $2 a day, the explicit expression “2x+15” can be described recursively (either in writing or verbally) as “to find out how much money Jimmy will have tomorrow, you add $2 to his total today”.
[DOC File]Equations & Inequalities
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SWBAT write geometric sequences explicitly . SWBAT write geometric sequences recursively Quick Review. An . arithmetic sequence. is defined by a constant common _____ or _____. The . recursive. formula for an arithmetic sequence is an = _____ The . explicit. formula for an arithmetic sequence is an = _____ 1. Write recursive formulas for the ...
[DOCX File]Home / Homepage
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Write an explicit formula and a recursive formula to model this sequence. 20% less means they have 80% left a 1 =3000 r=0.80 explicit: a n =3000 (0.80) n-1 Recursive: a 1 =3000 a n =0.80 (a n-1 )
[DOC File]Arithmetic Sequences
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The sequences 1, 3, 5, 7, ….. and 2, 8, 14, 20, ….. are examples of arithmetic sequences. Each has the property that the difference between any two immediate successive terms is constant. The existence of a common difference is the characteristic feature of an arithmetic sequence.
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