
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 function f(x) satisfies f(a + b) = f(a) • f(b) for all real numbers a and b, f(1) = 2 (and f(x) is always non-zero), and the nth term of the sequence {a_n} is a_n = $\frac{f^2(n) + f(2n)}{f(2n - 1)}$ (n ∈ ℕ+), find the sum of the first n terms of the sequence {a_n}.

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