Today we looked at finding the formula for a linear pattern. Linear patterns add the same number each time (this could be negative). All have a formula like dn + k where:
- d is the number we add each time (the difference)
- k would be the number if we went backwards in our pattern
Examples:
- 3, 5, 7, 9 (adds 2 each time so d is 2 and if we went backwards in the pattern we would get 9, 7, 5, 3, 1 so k is 1) ---> so the pattern rule is 2n + 1
- 2, 6, 10, 14 (adds 4 each time so d is 4 and if we went backwards in the pattern it would go 10, 6, 2, -2 so k is -2) ---> so the pattern rule is 4n - 2
- 99, 96, 93 (subtracts 3 each time so d is -3 and k is 102) ---> the rule is -3n + 102
Homework:
8.04
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