
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
In a basketball match between the Eagles and the Tigers, the game was tied at halftime. The Eagles' points in each of the four quarters formed an increasing geometric sequence, while the Tigers' points each quarter formed an increasing arithmetic sequence. By the end of the fourth quarter, the Eagles had won by two points. Neither team scored more than 100 points. What was the total number of points scored by both teams in the second half?
**A)** 110
**B)** 116
**C)** 120
**D)** 125

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