All topicsSequences & SeriesFinite geometric series

Grade 12 · Free practice

Finite geometric series

Sum the first n terms of a geometric sequence with the closed formula.

Standards:A-SSE.B.4

Try it: three questions

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

Question 1 of 3

A ball is dropped from a height of 12 m. Each time it bounces, it reaches 60% of its previous height. Find the total distance traveled (up and down) by the ball through all bounces.

Question 2 of 3

A ball is dropped from a height of 80 cm. Each bounce reaches 75% of the previous height. Find the total distance traveled (up and down) if the ball bounces indefinitely.

Question 3 of 3

A ball is dropped from a height of 60 m. Each bounce reaches 75% of the previous height. Find the total distance traveled by the ball (up and down) before it stops bouncing.

How this fits in

Finite 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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