uuuuuuuuuuuuuuuuuuuuup to the moon

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if you have a piece of paper that is 0.1mm thick, how many times will you have to fold it in half in order for it to become tall enough to reach the moon?

4200 142 1400 42

1 solution

Sanyam Goel
May 12, 2016

Width after 1 folding $a_{1}$ =0.2mm

Now its clearly a Geometric Progression of common ratio 2 as width would double up after each folding.

So $a_{n}=0.2×2^{n-1}$ mm distance between earth and moon comes out to be 384400 kms= $3.844×10^{11}$ mm

$3.844×10^{11}=0.2×2^{n-1}$ Using log and calculator, this n comes out to be $41.80$

Hence the answer is $\boxed{42}$ Source :Same solution of " To The Moon! "

uuuuuuuuuuuuuuuuuuuuup to the moon

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