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ESSENTIAL QUESTION:How can we use sequences & series to represent real world scenarios?

I will be able to:
  • define arithmetic sequences & series, find terms of a sequence, and write explicit formulas and sum formulas (10.1, 10.2, 10.3)
  • solve problems involving arithmetic & geometric sequences and series (10.4, 10.5)

10: Sequences & Series

10.1: Defining Sequences & Series10.2: Arithmetic Sequences & Series10.3: Geometric Sequences & SeriesA2.A.3.1 Recognize that arithmetic sequences are linear using equations, tables, graphs, and verbal descriptions. Using the pattern, find the next term.A2.A.3.2 Recognize that geometric sequences are exponential using equations, tables, graphs, and verbal descriptions. Given the formula 𝑓(π‘₯) = π‘Ž(π‘Ÿ)x, find the next term and define the meaning of π‘Ž and π‘Ÿ within the context of the problem. A2.A.3.3 Solve problems that can be modeled using arithmetic sequences or series given the 𝑛th terms and sum formulas. Graphing calculators or other appropriate technology may be used.

10.4: Solve Arithmetic Problems10.5: Solve Geometric ProblemsA2.A.3.3 - Solve problems that can be modeled using arithmetic sequences or series given the 𝑛th terms and sum formulas. Graphing calculators or other appropriate technology may be used. A2.A.3.4 - Solve problems that can be modeled using finite geometric sequences and series given the 𝑛th terms and sum formulas. Graphing calculators or other appropriate technology may be used.

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