SOLUTION: Dear Sir/Madam; Good day! Please help me with this series question: A piece of paper is 0.01 inch thick. It is cut and stacked repeatedly in such a way that its thickness i

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Question 882731: Dear Sir/Madam;
Good day! Please help me with this series question:
A piece of paper is 0.01 inch thick. It is cut and stacked repeatedly in such a way that its thickness is doubled each time for 20 times. How thick is the result?
Thank you so much for your help!

Answer by Leaf W.(135) About Me  (Show Source):
You can put this solution on YOUR website!
Hello! For each time you double the stack, you are essentially multiplying the thickness of the stack by 2. Therefore, by doubling the stack 20 times, you are multiplying by 2 twenty times, which you can simplify to multiplication by 2%5E20. Thus, the thickness of the stack after doubling it 20 times is 0.01+%2A+2%5E20+=+104857.6, so your final thickness is 104857.6 inches.
I hope this helps! =)