Zeno's Other Frog

Calculus Level 3

Zeno's frog jumps twice as far each jump. During the first hop, Zeno's frog can hop exactly one foot.

How many hops will Zeno's frog have to take to move googol feet?

Assumptions: A googol is a 1 with 100 zeroes after it. During the first hop the frog moves forward one foot. During the second hop, the frog will move forward two feet. After the second hop, the frog's total displacement is three. Therefore, it takes two hops to move three feet.




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