Starting Out with Programming Logic and Design (5th Edition) (What's New in Computer Science)
Starting Out with Programming Logic and Design (5th Edition) (What's New in Computer Science)
5th Edition
ISBN: 9780134801155
Author: Tony Gaddis
Publisher: PEARSON
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Chapter 13, Problem 4SA

When recursion is used to solve a problem, why must the recursive module call itself to solve a smaller version of the original problem?

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When recursion is used to solve a problem, why must the recursive method call itself to solve a smaller version of the original problem?
Why does the recursive function that uses recursion to solve a problem have to call itself in order to resolve a smaller version of the original problem?
Pascal's triangle is a useful recursive definition that tells us the coefficients in the expansion of the polynomial (x + a)^n. Each element in the triangle has a coordinate, given by the row it is on and its position in the row (which you could call a column). Every number in Pascals triangle is defined as the sum of the item above it and the item above it and to the left. If there is a position that does not have an entry, we treat it as if we had a 0 there. *picture of the pascals triangle* Given the following recursive function signature, write the recursive function that takes a row and a column and finds the value at that position in the triangle. Assume that the triangle starts at row 0 and column 0. Examples: pascal(2, 1) -> 2,  pascal(1, 2) -> 0   public int pascal(int row, int column) {   }

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Starting Out with Programming Logic and Design (5th Edition) (What's New in Computer Science)

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