Question

Match the type of sequence to the appropriate example.

1. 2, 9, 16, 23, ...
exponential growth
2. 3, 15, 75, 375, ...
geometric sequence
3. 0, 4, 4, 8, ...
exponential decay
4. y = (1.1)^x
arithmetic sequence
5. y = (1/4)^x
recursive sequence

Answer 1

Matches:

1. 2, 9, 16, 23, ... — arithmetic sequence (common difference 7)
2. 3, 15, 75, 375, ... — geometric sequence (common ratio 5)
3. 0, 4, 4, 8, ... — recursive sequence (defined by a recurrence rule, not a simple arithmetic/geometric pattern)
4. y = (1.1)^x — exponential growth (base 1.1 > 1)
5. y = (1/4)^x — exponential decay (base 1/4 < 1)