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This is an example of an infinite series .

Start with a square one unit by one unit:. 1. This is an example of an infinite series. 1. This series converges (approaches a limiting value.). Many series do not converge:. This converges to if , and diverges if. is the interval of convergence. Geometric Series:.

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This is an example of an infinite series .

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  1. Start with a square one unit by one unit: 1 This is an example of an infinite series. 1 This series converges (approaches a limiting value.) Many series do not converge:

  2. This converges to if , and diverges if . is the interval of convergence. Geometric Series: In a geometric series, each term is found by multiplying the preceding term by the same number, r.

  3. Find the sum of the series, if possible. • 5+10+20+40+… • 1+ • 9 - 3 + 1 - +… Diverges, no sum 2 27/4 4

  4. Write an expression for the nth term.

  5. Find the function which is represented by the given series for those x for which the series converges.

  6. Homework Worksheet: Geometric Series

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