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8.1 and 8.2 Summarized
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8.1 Summarized Notation for sequence
Finding a term given a formula for a sequence. Finding the nth term (the formula) for a sequences. Two main types of sequences: Arithmetic and Geometric. Being able to do sequences on your calculator. Finding the limit of a sequence. If limit exists ->converges, otherwise it diverges. In addition we had the squeeze theorem and the absolute value theorem in the section.
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8.2 Summarized Relationship between a sequence and a series.
Finding the partial sum of a series. Finding the formula for the partial sum of a series. If the partial sum has a limit, then the series converges, otherwise the series diverges. 3 types of special series: Geometric, Telescoping, and Harmonic. Finding the sum of a geometric series. (Conditions) Finding the nth partial sum of a telescoping series (Using partial fractions to write a series as a telescoping series) Finding the sum Sn of a telescoping series. The nth term test for Divergence … and Convergence Finding the Sum Sn of any given series that may or may not be a combination of the 3 special types of series.
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