Infinite Geometric Series

Common Formula (Finite & Infinite)

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Infintite Formula

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Determine the Infinite Geometric Series Converges or Diverges

There are two basic rules for infinite geometric series:

Example

Solve:

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

Evaluate Infinite Geometric Series

Example

Solve:

• 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: