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
You're on a roll — let's re-check your table and the rule for the matchstick pattern. e) The pattern for the number of matches (M) based on the number of triangles (n) follows the rule M = 2n + 1. Using this rule, the completed table is: |c|c|c|c|c|c|c|c|c|c|c| Number of triangles & 1 & 2 & 3 & 4 & 5 & 7 & 11 & 13 & 15 & 20 \\ Number of matches & 3 & 5 & 7 & 9 & 11 & 15 & 23 & 27 & 31 & 41 \\ f) If the 'number of triangles' is the input (n) and the 'number of matches' is the output (M), the rule is: M = 2n + 1 What's next? Send 'em! 📸