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ca6rrisjedairbeasem
ca6rrisjedairbeasem ca6rrisjedairbeasem
  • 07-06-2016
  • Mathematics
Answered

A frog is hopping along in a straight line. Each hop is twice as far as its previous hop. Its first hop covers 1 inch. After 8 hops, the frog will have traveled _____ inches.

Verified Answer :

Hagrid
Hagrid Hagrid
  • 07-06-2016

The frog's jump represent a geometric series.
The sum of finite geometric series can be solved using the equation:
Sn = ao ( (1-r^n)/(1-r) )

Plugging in the values,
S8 = 1 ( (1-2^8)/(1-2) )
S8 = 255

Therefore, after 8 hops, the frog will have traveled 255 inches

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