Answer:
see below
Step-by-step explanation:
Since there are fewer sequences than functions, we'll identify the matchup according to the sequence.
<u>11, 33, 55, 77, ...</u>
The first term is 11. The terms have a common difference of 33 -11 = 22. That is, each term is 22 more than the previous one. The appropriate recursive function is ...
- f(1) = 11
- f(n) = f(n-1) +22 for n > 1
__
<u>-18, -108, -648, -3888, ...</u>
The first term is -18. The terms obviously do not have a common difference, but their common ratio is -648/-108 = -108/-18 = 6. That is, each term is 6 times the previous one. Then the appropriate recursive function is ...
- f(1) = -18
- f(n) = 6·f(n-1) for n > 1
__
<u>-18, 3, 24, 45, ...</u>
The first term is -18. The terms have a common difference of 3-(-18) = 21. That is, each term is 21 more than the previous one. The appropriate recursive function is ...
- f(1) = -18
- f(n) = f(n-1) +21 for n > 1
