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When you fold a piece of a piece of paper in half, the thickness of the folded piece is twice the thickness of the original piece. A piece of copy paper is about 0.1 mm thick.


Part 1
How thick is a piece of copy paper that has been folded in half 7 times?


The piece of paper is about
1.28
cm thick after being folded 7 times.



Part 2 out of 2
Suppose that you could fold a piece of copy paper in half 12 times. How thick would it be? Write your answer in centimeters.


The piece of paper is about
cm thick after being folded 12 times.

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isaacduncan

Answer:

Part A: 6.4 MM Part B: 20.48 CM

Step-by-step explanation:

Every time the paper is folded, the thickness increases by a multiple of 2. This means that this is a gerometric Sequence, since there is a mulitplyer,  or ratio, value.

Al is the first value in the seqence so,

A1 =0.1

r is the ratio multiplyer since each fold dubles the thickness the multiplier is 2.

r=2

Part A

The Thickness of the paper folded 7 times is 6.4 mm

Part B

The Thickness of the paper folded 12 times is 204.8mm

Convert this value into centimeters divide it by 10. So the final answer is 20.48  cm

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