Question
Make up two infinite geometric series, one that has a sum and one that does not. Give them to a friend and ask for the sum of each series.
Step 1
An infinite geometric series converges (has a sum) if the absolute value of the common ratio \( r \) is less than 1, i.e., \( |r| < 1 \). If \( |r| \geq 1 \), the series diverges (does not have a sum). Show more…
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