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Algebra 2 Sequences and series

Infinite geometric series

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Questions
Question 1
180056

Does the infinite geometric series \[ 1 + \dfrac{1}{2} + \dfrac{1}{4} + \dfrac{1}{8} + \dfrac{1}{16} + \cdots \] converge? If yes, find the sum. If no, explain why.

Converges to \(S_\infty = 2\)

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