Find the rule which gives the number of matchsticks following matchstick patterns. Use a variable to write the rule:

$( a)$ A pattern of letter T as $T$

$( b)$ A pattern of letter Z as $Z$

Solution: 

$( a).$ Making $T$ using matchsticks 

Here, we find,

For $1\ T$, Number of matchsticks $=2$

For $2\ T$, Number of matchsticks $=4$

For $3\ T$, Number of matchsticks $=6$

$\Rightarrow$ Number of matchsticks $=2n$       [Where $n$ is the number of $T$]

$( b)$. Making $Z$ with Matchsticks,

For $1\ Z$, Number of matchsticks $=3$

For $2\ Z$, Number of matchsticks $=6$

For $3\ Z$, Number of matchsticks $=9$

$\Rightarrow$ Number of matchsticks $=3n$       [Where $n$ is the number of $Z$]

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Updated on: 10-Oct-2022

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