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Course 3, Unit 7 - Recursion and Iteration

In this unit, students represent and solve problems related to sequential change, using subscript and function notation and also technological tools, such as spreadsheets. They study arithmetic and geometric sequences and series and investigate the general process of iterating functions.

New Key Ideas from Course 3, Unit 7

  • Step-by-step change: mathematical models for (See pages 458-461.)

  • Arithmetic sequences: e.g., 1, 5, 9, 17, 21, 25, 28, … (See page 483.)

  • Geometric sequences: e.g., 1, 4, 16, 64, 256, 1,024, … (See page 485.)

  • Iterating functions: input a value and obtain the output value of a function, then input that value into the function and repeat. (See pages 514-522.)

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