Math: ideas about infinity: how an infinite series can have a finite sum

Tutoring math, you realize that infinite series can be hard to visualize. The tutor offers perspective.

An infinite series is a sum of terms that never end. An example is a repeating decimal, such as 0.2222222….., which means

0.2222222…. = 0.2 + 0.02 + 0.002 + 0.0002 + 0.00002 + ….

Perhaps surprising, at first, is that a sum may be of infinitely many terms, but have finite value. Yet, most people will agree that

0.2222222…. < 0.3
Jack of Oracle Tutoring by Jack and Diane, Campbell River, BC.

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