Question

Using the variable n, what is the rule which gives the number of matchsticks required to make the following matchstick pattern?

• A. $3n$
• B. $2n$
• C. $n$
• D. $4n$

Answer 1

The correct option is B $2n$

Two matchsticks are used in the given pattern.

$\therefore$To create 1 such patterns, we need 2 matchsticks.
$\therefore$To create 2 such patterns, we need $2\times 2=4$ matchsticks.
$\therefore$To create 3 such patterns, we need $2\times 3=6$ matchsticks.

$\therefore$To create n such patterns, we need 2n matchsticks.

The rule which can give the number of matchsticks required to make the given matchstick pattern = 2n.