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Algebra 2 Sequences and Series Unit

Description: 

Students have already had experience with patterns of numbers when studying linear, quadratic, and exponential functions in both Algebra 1 and Algebra 2. This is their first introduction to the formal notation used for sequences and summation notation for series. Students will explore series and summation notation. Arithmetic sequences and series, including finding common differences, terms, and partial sums will be examined in this unit. Students will also learn about geometric sequences and series, including finding common ratios, terms, partial sums, and infinite sums. Students will also explore how to write numbers with repeating decimals as fractions in simplest form using infinite geometric series and common ratio concepts.

Learning Targets: 
Find the nth term of a sequence given the sequence, the recursive rule, or the explicit rule.
Write recursive and explicit rules for sequences
Evaluate the sum of a series expressed in sigma notation.
Find the partial sums of geometric or arithmetic sequences.