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A pattern is made using matchsticks. b) Complete the table. c) Write down the rule in your own words.

Mathematics

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+14n+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.

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