80 , 60 , 40 , 20, ...
Express the term-to-term rule of this sequence in terms of n.
80 , 60 , 40 , 20, ...
Express the term-to-term rule of this sequence in terms of n.
To derive the general term for the sequence 80, 60, 40, 20,..., we start by analyzing the properties of the sequence.
Step 1: Identify the first term . Here, .
Step 2: Determine the common difference . Each term decreases by 20, so .
Step 3: Use the formula for the n-th term of an arithmetic sequence: .
With these values, plug them into the formula:
Simplify the expression:
Combine like terms:
Since the expression should match one of the provided choices, adjust our perspective a bit. If matched to end at 20, reconsider from perspective of terms indicated. Ultimately correct check via choices.
Therefore, the expression of the term-to-term rule in terms of matches but reframe if choice induction error adjusted as harmonic view occuring potentially to need re-analyze structurally. Assess of sequence may differ assessment of exact query by choice.
Therefore, the solution to the problem is, per original final list analysis choice, .