
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
The annual "Double Eleven" global shopping festival has come to a perfect close, and packages from all over the country are being delivered to local courier companies. A courier on a three-wheeled motorcycle departs from point $P$ at the company and delivers packages back and forth on a street running east to west. Now, his records of seven consecutive trips in a day are as follows (it is agreed that east is positive and west is negative, unit: kilometers):

| First | Second | Third | Fourth | Fifth | Sixth | Seventh |
|-------|--------|-------|--------|-------|-------|---------|
| $-2$  | $+7$   | $-9$  | $+10$  | $+4$  | $-5$  | $-8$    |

$(1)$ In which direction and how many kilometers away from point $P$ is the courier when he finishes his last package delivery?

$(2)$ At which trip number is the courier farthest from point $P$?

$(3)$ If the fuel consumption is $0.08$ liters per kilometer, and gasoline costs $7.2$ yuan per liter, how much money does the courier need to spend on gasoline to deliver all the packages?

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