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What is the largest number of regions formed by 6 planes in space?

This was part b of the problem, I already solved part a and I am confused on why it isn't the same answer as part a. 

 

Part a's question:

By drawing 6 lines in the plane, what is the largest number of regions we can create?

 

I got an answer of 22 using a recursive formula: f(n) = f(n-1) + n. 

 

Can anyone give me any hints on how to do part b?

 

all help is appreciated - Zekken4717

 

p.s this problem isn't due at any time so I have time to do it but quicker is better :)

p.s 22 is the right answer for part a.

 

a guest said that it would be 32 because the recursive formula would be f(n) = f(n-1) + 2(n-1) however that isn't right and the questions locked.

 
 Aug 19, 2021

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