
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
Let \\(S_{n}\\) and \\(T_{n}\\) be the sums of the first \\(n\\) terms of arithmetic sequences \\(\{a_{n}\}\\) and \\(\{b_{n}\}\\) respectively. Given that \\( \dfrac {S_{n}}{T_{n}}= \dfrac {n+1}{2n-1}\\) for \\(n∈N^{*}\\), find the value of \\( \dfrac {a_{5}}{b_{5}}=\\) ______.

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