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).
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: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.1: Exponents
Problem 34WE
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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:
- 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).
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