Answer:
- y[1] = 14
- y[n+1] = y[n] -5 . . . . n ≥ 1
Step-by-step explanation:
The first element in the table is 14, so that is the initial condition for the recursive formula. y[1] = 14
Each table element is 5 less than the previous one, so that is the recursive rule. y[n+1] = y[n] -5
__
As shown by your markings, you have already figured out the relationship between y-values. All you have to do is write that as a recursive rule. If you use y[n] as the current value, then the previous one is y[n-1]. (The current value is 5 less than the previous one.)
Above, I have used y[n+1] as the next value and y[n] as the current value. (The next value is 5 less than the current one.) Either way, the set of rules generates the same sequence. No doubt, your curriculum materials prefer one form over the other. Use that.
