
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
Given that the sequence ${a_n}$ is an arithmetic sequence, and it satisfies: ${a_1+a_2+a_3=6}$, ${a_5=5}$.
(I) Find ${a_n}$
(II) Denote the sequence ${c_n= \frac {2}{a_{n+1}a_{n+2}}(n∈N^{*})}$, if the sum of the first ${n}$ terms of ${c_n}$ is ${T_n}$, find ${T_n}$.

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