P1 P2 P3 P4 A pentagonal number is one that corresponds to dots arranged into a pentagon. Above are the first four pentagonal numbers and their pentagons. The pentagonal number PN has sides made of N dots. When you count the dots for a pentagonal number, include the dots for the inner pentagons. So to figure out how many dots PN has, find out how many P(N-1) has and add the dots for the new sides of size N. P1 = 1, P2 = 5, P3 = 12, P4 = 22 Figure out a recursive formula for PN and then write a function that implements it. That is, implement pentagonal() using recursion. %3D %3D pentagonal(1) -> 1 pentagonal(2) -> 5 pentagonal(3) -> 12

P1 P2 P3 P4 A pentagonal number is one that corresponds to dots arranged into a pentagon. Above are the first four pentagonal numbers and their pentagons. The pentagonal number PN has sides made of N dots. When you count the dots for a pentagonal number, include the dots for the inner pentagons. So to figure out how many dots PN has, find out how many P(N-1) has and add the dots for the new sides of size N. P1 = 1, P2 = 5, P3 = 12, P4 = 22 Figure out a recursive formula for PN and then write a function that implements it. That is, implement pentagonal() using recursion. %3D %3D pentagonal(1) -> 1 pentagonal(2) -> 5 pentagonal(3) -> 12

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

P1
P2
P3
P4
A pentagonal number is one that corresponds to dots arranged into a
pentagon. Above are the first four pentagonal numbers and their
pentagons.
The pentagonal number PN has sides made of N dots. When you count the
dots for a pentagonal number, include the dots for the inner pentagons. So
to figure out how many dots PN has, find out how many P(N-1) has and add
the dots for the new sides of size N.
P1 = 1, P2 = 5, P3 = 12, P4 = 22
Figure out a recursive formula for PN and then write a function that
implements it. That is, implement pentagonal() using recursion.
pentagonal(1) -> 1
pentagonal(2) -> 5
pentagonal(3) -> 12

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