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#
Authors:
Walter Savitch ,kenrick Mock
Chapter:
Recursion
Exercise:
Programming Projects
Question:10 | ISBN:9780132846813 | Edition: 5

Question

Consider a frame of bowling pins, where each * represents a pin:

*

* *

* * *

* * * *

* * * * *

There are five rows and a total of fifteen pins. If we had only the top four rows, there would be a total of ten pins. If we had only the top three rows, there would be a total of six pins. If we had only the top two rows, there would be a total of three pins. If we had only the top row, there would be a total of one pin.

Write a recursive function that takes as input the number of rows, n , and outputs the total number of pins that would exist in a pyramid with n rows. Your program should allow for values of n that are larger than 5.


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