Write a recursive sequence that represents the sequence defined by the following explicit formula: An = -4 - 3n an Submit Answer an 1
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![**Title: Writing Recursive Sequences from Explicit Formulas**
**Task Description:**
Write a recursive sequence that represents the sequence defined by the following explicit formula:
\[ a_n = -4 - 3n \]
**Interactive Exercise:**
Fill in the values for the initial term and the recursive formula of the sequence.
**Input Fields:**
1. \( a_1 = \) [Input Box]
2. \( a_n = \) [Input Box]
**Button:**
[Submit Answer]
**Note:**
- Ensure you properly understand how to construct a recursive formula from an explicit one before submitting your answers.
- The initial term (\( a_1 \)) should align with the formula given for \( n = 1 \).
- The recursive formula should describe how to get the nth term from the (n-1)th term.
**Example Calculation:**
For the explicit formula \( a_n = -4 - 3n \), find the corresponding recursive form.
1. Calculate the first term:
\[ a_1 = -4 - 3(1) = -4 - 3 = -7 \]
2. Identify the relationship between consecutive terms:
\[ a_{n+1} = a_n - 3 \]
Therefore, the recursive sequence is:
\[ a_1 = -7 \]
\[ a_n = a_{n-1} - 3 \] for \( n > 1 \)
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