Determine if the sequence is monotonic and if it is bounded.
-$$a _ { n } = \frac { ( n + 2 ) ! } { ( n + 1 ) ! }$$
A) increasing; bounded
B) not monotonic; unbounded
C) nondecreasing; bounded
D) nondecreasing; unbounded

Question

Quizplus · Accepted Answer

The sequence $\frac{(n+2)!}{(n+1)!}$ simplifies to $n+2$, which is nondecreasing as $n$ increases and is unbounded because it will grow indefinitely as $n$ becomes larger.

Determine If the Sequence Is Monotonic and If It Is an=(n+2)!(n+1)!a _ { n } = \frac { ( n + 2 ) ! } { ( n + 1 ) ! }an​=(n+1)!(n+2)!​

Determine If the Sequence Is Monotonic and If It Is $a _ { n } = \frac { ( n + 2 ) ! } { ( n + 1 ) ! }$