Question

Determine whether the sequence is increasing, decreasing, or not monotonic. [ a_{n}=2 n e⁻⁶ n} increasing decreasing not monotonic Is the sequence bounded?

Answer 1

The sequence is decreasing and bounded above.

Step-by-step explanation:

The sequence is always positive, but it decreases steadily as the values for n increase. Therefore, the sequence is decreasing. As for its boundedness, we can see that the sequence approaches zero as n becomes larger. This means that the sequence is bounded from above (by zero) but not bounded from below. Therefore, the sequence is bounded above.