Verified Solution Mathematics Algebra

A pattern of squares is made using matchsticks. For 1 square, 4 matchsticks are used. For 2 squares, 7 matchsticks are used. For 3 squares, 10 matchsticks are used. How many matchsticks will be needed for 'n' squares?

0 views 0 helpful Updated Jul 8, 2026
Solution ✔ Verified
  • A4n
  • B3n + 1
  • Cn + 3
  • D4n - 1
Explanation

The pattern increases by 3 matchsticks for each additional square. This is an arithmetic progression. The rule is 3n + 1 (since 3*1+1=4, 3*2+1=7, 3*3+1=10).

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