Jonny makes a sequence of patterns using matchsticks. He adds the same number of matchsticks each time. How many matchsticks does he add each time?
| Pattern number | 1 | 2 | 3 | ... |
|---|---|---|---|---|
| Number of matchsticks | 5 | 9 | 13 | ... |
Answer (2)
To find out how many matchsticks Jonny adds each time, we need to determine the difference between the number of matchsticks in successive patterns.
Let's look at the pattern provided:
Pattern 1 has 5 matchsticks.
Pattern 2 has 9 matchsticks.
Pattern 3 has 13 matchsticks.
We will calculate the difference between each consecutive pattern:
From Pattern 1 to Pattern 2: 9 − 5 = 4
From Pattern 2 to Pattern 3: 13 − 9 = 4
The difference in the number of matchsticks between consecutive patterns is 4 each time.
Therefore, Jonny adds 4 matchsticks each time he creates a new pattern.
Jonny adds 4 matchsticks each time he creates a new pattern. This is determined by looking at the differences in the numbers of matchsticks in each consecutive pattern. Each time, from one pattern to the next, there is a consistent increase of 4 matchsticks.
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