A little thought involving induction.
Say you have a sheet of paper, you fold it in half and punch a hole through it with a needle, fold it again, punch a hole through it and so on. If you fold it n times, how many holes do you get for any value of n? show that this is true.

Question

A little thought involving induction. 
Say you have a sheet of paper, you fold it in half and punch a hole through it with a needle, fold it again, punch a hole through it and so on. If you fold it n times, how many holes do you get for any value of n? show that this is true.

photon336 · Answer

@Kainui

vishweshshrimali5 · Answer

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So, for one fold and punch the page will have 2 holes...

vishweshshrimali5 · Answer

For two folds and two punches ... total holes = 4 new + 2 old = 6

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