Write two algebraic pattern rules for this toothpick pattern.
Figure 1 = 3toothpicks
Fiqure 2 = 5 toothpicks
Figure 3 = 7 toothpicks
Figure 4 = 9 toothpicks
i need help please.
I did 1-3n for Figure 1
The number of toothpicks increase by 2 each time --> n + 2?
let n= figure number
2n+1
I got 2n-1 but i can't find another algebraic pattern rule
There is a second one doe
To come up with the algebraic pattern rules for the toothpick pattern, we need to identify the patterns and establish a formula that relates the figure numbers to the number of toothpicks.
Pattern 1:
Looking at the figures, we can see that the number of toothpicks increases by 2 each time. Starting with Figure 1, the pattern can be expressed as:
Number of toothpicks = 2n + 1
Pattern 2:
Alternatively, we can see that the number of toothpicks is always odd in the pattern. In this case, we can directly generate a formula for the number of toothpicks:
Number of toothpicks = 2n + 1
Both of these patterns would work for the given toothpick pattern, so feel free to choose either one. Just remember to substitute 'n' with the figure number to find the number of toothpicks.