Infinite Geometric Series

Common Formula (Finite & Infinite)

Infintite Formula

Determine the Infinite Geometric Series Converges or Diverges

Example

  • Yes. Because |-0.8| < 1, satisfies the basic converge rules.

Evaluate Infinite Geometric Series

Example

  • First off, we need to find the essential information for the geometric series:

    • Initial term: a₀ = 1

    • Common Ratio: r = 0.75

  • So the Infinite series would be:

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