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Squares are made in a row from matchsticks, sharing sides. Which rule gives the matchsticks for n squares?

Class 7Formulas and Rules from PatternsAlgebra

A $4 n$
B $4 n - 1$
C $3 n$
D $3 n + 1$

Step-by-Step Solution

Counts: 4, 7, 10, … The first square needs 4 sticks and each new square adds 3. So

4 + 3 (n - 1) = 3 n + 1. (4 n

would be for separate squares.)

Answer: D)

3 n + 1

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