Final answer:
A geometric sequence with a growth factor of 1.2 and an initial value of 0.9 will exponentially increase, exhibiting an upward-curving growth over time.
Step-by-step explanation:
A geometric sequence with a growth factor of 1.2 and an initial starting value of 0.9 will exponentially increase over time. Since the growth factor is greater than one, each term will be 1.2 times the previous term, resulting in a sequence that grows larger with each subsequent term.
For example, the first few terms of this sequence would be 0.9, 1.08 (0.9 × 1.2), 1.296 (1.08 × 1.2), and so on. As this process continues, the sequence exhibits exponential growth, which means the sequence increases at a rate proportional to its current value.
Graphically, if plotted, the sequence would display an upward-curving trend, reflecting the increasing growth rate over time. Therefore, the best description of the behavior of this sequence is that it will increase exponentially.