Geometric Series

Applying limits to find the sum of an infinite geometric series.

Mapped to AP College Board # LIM-7, LIM-7.A, LIM-7.A.3, LIM-7.A.4

Applying limits may allow us to determine the finite sum of infinitely many terms. Determine whether a series converges or diverges. A geometric series is a series with a constant ratio between successive terms. If a is a real number and r is a real number such that |r| <1, then the geometric series ∑ ar^n when n is from 0 to ∞ = a/(1-r).