Guest: A frog starts a special jumping combo 1st jump it covered 32cm... 2nd jump it covered 16cm... 3rd jump it covered 8cm... How many jumps does it need to get to 64 cm?
The frog will need to take an infinite number of jumps! The distances form a geometric series with each jump being 1/2 the previous one, so the distance travelled after n jumps is given by the expression 32*(1-(1/2)
n)/(1-(1/2)). This gets closer and closer to 64 - see below for the distances of the first 20 jumps - but never quite gets there!
frog.PNG
+33616 
