A party will have hexagonal tables placed together with space for one person on each open side: The table shows the number of people P(n) that can sit at n tables. Number of people P(n) at n-tables n 1 2 3 4 5 P(n) 6 A B C D   Instructions: Complete the table. Type your answer as A = , B =, C =, and D = Explain your thinking for your solution. Write a recursive equation for P(n). Write an explicit equation for P(n).

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A party will have hexagonal tables placed together with space for one person on each open side:

The table shows the number of people P(n) that can sit at n tables.

Number of people P(n) at n-tables

n 1 2 3 4 5
P(n) 6 A B C D

 

Instructions:

  1. Complete the table. Type your answer as A = , B =, C =, and D =
  2. Explain your thinking for your solution.
  3. Write a recursive equation for P(n).
  4. Write an explicit equation for P(n).
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