Bug climbing a mammoth tree

Calculus Level 5

A tiny nocturnal bug decided one evening to climb a mammoth tree. At this time the tree was exactly 100 m tall. In every night the bug managed to climb a distance of 10 cm, but the tree grew on every day 20 cm, equally distributed along its whole length.

Did the bug ever got to the top of the tree ? If yes, how many nights (rounded to the nearest 100) did the bug need ?

Note: If you think the bug never reaches the top enter: 0 as a result.


The answer is 3200.

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1 solution

Guy Fox
Oct 2, 2018

Below the numeric evaluation for clarification

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