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Find the rule which gives the number of ...

Find the rule which gives the number of matchsticks required to make the following matchstick patterns. Use a variable to write the rule.
A pattern of letter T as `T`

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To find the rule for the number of matchsticks required to make the letter "T" using matchsticks, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the number of matchsticks for one "T":** - To create the letter "T", we need 2 matchsticks: one for the vertical line and one for the horizontal line. - Therefore, for 1 "T", the number of matchsticks required is 2. 2. **Define a variable for the number of "T"s:** - Let \( n \) represent the number of "T"s we want to make. 3. **Calculate the total number of matchsticks for \( n \) "T"s:** - Since each "T" requires 2 matchsticks, if we want to make \( n \) "T"s, we multiply the number of "T"s by the number of matchsticks per "T". - The formula becomes: \[ \text{Total matchsticks} = 2 \times n \] 4. **Write the rule:** - The rule that gives the number of matchsticks required to make \( n \) "T"s is: \[ \text{Total matchsticks} = 2n \]
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