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 h
ops, the frog will have traveled _____ inches.
1 answer:
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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