Students will be able to
- understand when a geometric series is convergent and, thus, has a finite sum (i.e., when ),
- find the sum of a convergent infinite geometric sequence using the formula , given sufficient information about the sequence,
- convert recurring decimals to fractions by finding the sum of a geometric sequence.
Students should already be familiar with
- the sum of a finite geometric sequence.
Students will not cover
- sigma notation,
- converting decimals algebraically.