Stage 26 · Sequences

26.3.6 Infinite Shrinking Sums and Their Limit

26.3 Geometric Sequences

Point 6 of 6

26.3.6 Infinite Shrinking Sums and Their Limit

Core idea

When |q|<1 the running total creeps ever closer to one value, like never quite arriving yet always nearing the finish a₁/(1−q)

Module goal. Study sequences that change by a fixed multiplier each time, mastering the general term, key properties, summation, and the intuition behind its limit.
eastmath.com · 26.3 Geometric Sequences · 26.3.6 Infinite Shrinking Sums and Their Limit