Answer:
✔️The arithmetic sequence: 16, 11, 6, 1, -4. . .
✔️The Geometric Sequence: ⁵/9, ⁵/3, 5, 15, 45 . . .
✔️Neither is: ½, 1, 2, 3, 4 . . .
Explanation:
In an arithmetic sequence, a constant number called common difference is added or subtracted from each term to get the next successive term in the sequence.
On the other hand, in a geometric sequence, a constant number called common ratio is used to multiply or divide each term to get the next successive term in the sequence.
✔️The arithmetic sequence is:
16, 11, 6, 1, -4. . .
This is because it has a common difference of -5. Thus, 5 is subtracted from each term to get the next successive term.
✔️The Geometric Sequence is:
⁵/9, ⁵/3, 5, 15, 45 . . .
The common ratio is 3. Each term is multiplied by 3 to get the next successive term in the sequence.
✔️Neither is:
½, 1, 2, 3, 4 . . .
This sequence lacks either a common difference or a common ratio.