sarabannschi sarabannschi

05-01-2017
Mathematics

Answered

When you cut a pizza, you cut along a diameter of the pizza. let p(n) be the number of slices of pizza that exist after you have made n cuts, where n ≥ 1. write a recurrence for p(n).?

Verified Answer :

LammettHash LammettHash

05-01-2017

Each cut will double the number of slices, so if the recurrence starts with \(n=1\), then you have \(p(n)=2^{n-1}\).

\(p(1)=2^{1-1}=2^0=1\) corresponds to the whole pizza (one "slice").

The first cut gives \(p(2)=2^{2-1}=2^1=2\) slices, and so on.

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