All topicsSequences & SeriesInfinite geometric series

Grade 12 · Free practice

Infinite geometric series

When the ratio is between -1 and 1 the sum converges. Repeating decimals as fractions.

Standards:A-SSE.B.4

Try it: three questions

Real questions from the practice bank. Tap an answer to check it.

Question 1 of 2

A ball is dropped from 80 m and bounces to 60% of its previous height each time. Find the total distance traveled by the ball (up and down) before it stops.

Question 2 of 2

A ball is dropped from 80 m. Each bounce reaches 60% of the previous height. Find the total distance traveled by the ball (up and down).

How this fits in

Infinite geometric series is one skill in the Sequences & Series unit. Students read the unit lesson, then earn a bronze, silver, or gold medal on their last 10 answers. Medals never go down. A mastered unit comes back for review after 1, 3, 7, 16, and 35 days so it stays learned.

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