Lesson Plan

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)

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.