This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here's the solution to the matchstick pattern and puzzle: b) Complete the table: For 1 pentagon, 5 matches are used. Each additional pentagon shares one side, so it adds 4 new matches. Number of pentagons (n): 1, 2, 3, 4, 5, 10, n Number of matches: 5, 9, 13, 17, 21, 41, 4n+1 c) Write down the rule in your own words. To find the number of matches, start with 5 matches for the first pentagon, then add 4 matches for every additional pentagon. *