
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
Consider an arithmetic sequence where the first term \( b_1 = \sin x \) and the second term \( b_2 = \cos x \). Furthermore, \( b_4 = \sin x + \cos x \) for some real number \( x \). What is \( b_5 \)?
A) \( 2\sin x \) 
B) \( 2\cos x \) 
C) \( \sin x + \cos x \) 
D) \( \sin x - \cos x \)

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