document.write( "Question 1084223: A special rubber ball is dropped from the top of a building 81m high. If after falling it bounces back to two-thirds of the previous bouncing height, then
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document.write( "how high will it bounce the 5th time?What is the total distance it has covered the 6th time it touches the ground? Solve using Geometric Sequence \n" );
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Algebra.Com's Answer #698310 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! a*r^(n-1) is height, with a=81, r=2/3 and n the number of times. \n" ); document.write( "81*(2/3)^4=81*16/81=16 feet on the fifth time. \n" ); document.write( "81 foot drop and hits 1 (81 feet) \n" ); document.write( "bounces back up 54 feet (2/3 of 81) \n" ); document.write( "drops 54 feet (189 feet distance) hits 2 \n" ); document.write( "rises 36 feet (225 feet distance) and falls 36 feet to hit 3 (261 feet distance) \n" ); document.write( "rises 24 feet and falls 24 feet to hit 4 (309 feet distance) \n" ); document.write( "rises 16 feet and falls 16 feet to hit 5 (341 feet) \n" ); document.write( "rises 10 2/3 feet and falls 10 2/3 feet to hit 6 (362 1/3 feet). \n" ); document.write( " |