Saved Bookmarks
| 1. |
The pattern of numbers below is an arithmetic sequence: 14, 24, 34, 44, 54, ... Which statement describes the recursive function used to generate the sequence? The common difference is 1, so the function is f(n + 1) = f(n) + 1 where f(1) = 14. The common difference is 4, so the function is f(n + 1) = f(n) + 4 where f(1) = 10. The common difference is 10, so the function is f(n + 1) = f(n) + 10 where f(1) = 14. The common difference is 14, so the function is f(n + 1) = f(n) + 14 where f(1) = 10. |
|
Answer» From 14 to 24 is 10; from 24 to 34 is 10, and so on, so the common DIFFERENCE is 10. F(1) = 14 f(2) = 24 = 14 + (2-1)(10) = 14 + (N-1)(10) So f(n) = 14 + (n-1)(10) Check: Does f(4) come out to 44, as we EXPECTED? Does 14 + (4-1)(10) = 44? Yes. Step-by-step explanation: |
|