
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
Given the sequence \( t_{n} \) with initial term \( t_{1} = 14 \) and recursive definition \( t_{k} = 24 - 5 t_{k-1} \) for each \( k \geq 2 \), find the sum of the constants in the expression \( t_{n} = p \cdot q^{n} + r \).

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