
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
David's savings account showed different balances over a six-month period as depicted in the following graph. Calculate his average monthly balance for this period given that starting from the fourth month, his balance earns a monthly interest of 5%. The balances at the end of each month were: January \$100, February \$200, March \$150, April \$150, May \$200, and June \$250.

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