
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
In the arithmetic sequence $\{ {a_{n}} \}$, $(a_{5}=0.3,a_{12}=3.1,$

(1) Find the values of ${a_{1}} $ and $d$;

(2) Find the value of $({{a}\_{18}}+{{a}\_{19}}+{{a}\_{20}}+{{a}\_{21}}+{{a}\_{22}})$.

Present the answer in LaTex format: \boxed{Your answer}
user