
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
During a basketball game between the Eagles and the Lions, the game was tied at halftime. The points scored by the Eagles in each of the four quarters formed an increasing geometric sequence, while the points scored by the Lions in each of the four quarters formed an increasing arithmetic sequence. At the end of the game, the game ended in a draw. What was the total number of points scored by the two teams in the first half?
**A)** 7
**B)** 8
**C)** 9
**D)** 10
**E)** 11

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