Write arithmetic and geometric sequences

Start lessonBegins with Arithmetic geometric sequences · Slides

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Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework

Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
Guided Notes →One page your students fill in and keep.
Exit Ticket →Three items at the end of class. No student accounts.
Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
Homework →Assign practice; it grades itself.

HSF.BF.A.2

**HSF.BF.A.2**: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.

HSF.BF.A.2: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.

What you'll learn

Write an arithmetic sequence both recursively (a_1 = first term, a_n = a_n_-_1 + d) and explicitly (a_n = a_1 + (n-1)d)
Write a geometric sequence both recursively (a_1 = first term, a_n = a_n_-_1 * r) and explicitly (a_n = a_1 * r^n^-^1)
Determine the common difference d (arithmetic) or common ratio r (geometric) from a sequence of terms
Translate between recursive and explicit forms for both sequence types
Use arithmetic and geometric sequences to model real-world situations (salary increases, depreciation, savings, population)
Find a specific term of a sequence using the most efficient form (explicit for distant terms, recursive for sequential computation)

Review first:

Recognize sequences as functions

Slides

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Arithmetic geometric sequences

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Practice

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Exercise

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