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Monotonicity of an AP
## Formula
For:
$$a_n=a+(n-1)d$$
if:
$$d>0$$
then:
$$a_{n+1}>a_n$$
If:
$$d<0$$
then:
$$a_{n+1}<a_n$$
If:
$$d=0$$
then:
$$a_{n+1}=a_n$$
## Usage
- Used to determine whether an AP is increasing, decreasing or constant.
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Monotonicity of an AP
## Formula
For:
$$a_n=a+(n-1)d$$
if:
$$d>0$$
then:
$$a_{n+1}>a_n$$
If:
$$d<0$$
then:
$$a_{n+1}<a_n$$
If:
$$d=0$$
then:
$$a_{n+1}=a_n$$
## Usage
- Used to determine whether an AP is increasing, decreasing or constant.
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