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.

Also written as F-BF.2 or 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.

Example Problems

Find the sum:

\sum_{k = 0}^{60} (4 - 3k) =

Find the sum:

\sum_{k = 5}^{45} (3k - 28) =

Find the sum:

\sum_{k = 3}^{30} (12k + 5) =

Khan Academy Resources

Arithmetic sequences review Explicit formulas for arithmetic sequences Geometric sequences review Converting recursive & explicit forms of arithmetic sequences Recursive formulas for arithmetic sequences Recursive formulas for arithmetic sequences Converting recursive & explicit forms of arithmetic sequences Recursive formulas for geometric sequences Explicit formulas for geometric sequences Converting recursive & explicit forms of geometric sequences Sequences word problems Explicit formulas for arithmetic sequences Arithmetic sequence problem Explicit & recursive formulas for geometric sequences Converting recursive & explicit forms of arithmetic sequences Sequences word problems Converting recursive & explicit forms of geometric sequences Explicit formulas for arithmetic sequences Recursive formulas for arithmetic sequences

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