
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 $(1+mx)^{2020}=a_{0}+a_{1}x+a_{2}x^{2}+…+a_{2020}x^{2020}(m∈R)$,

1. Find the value of $a_1+2a_2+…+2020a_{2020}$ when $m=2$.
2. Find the value of $S= \sum\limits_{i=0}^{2020} \frac {1}{a_{i}}$ when $m=-1$.

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