Weber Estrada
03/31/2023 · High School
4) \( a_{n}=-2.3^{m} \)
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It seems like you have provided a sequence defined by the formula \( a_n = -2 \cdot 3^m \). However, there are a couple of points that need clarification:
1. **Variable Definition**: The variable \( m \) is not defined in your expression. Is \( m \) meant to be the same as \( n \) (i.e., \( a_n = -2 \cdot 3^n \))? Or is it a different variable?
2. **Sequence Index**: If \( m \) is indeed meant to be \( n \), then the sequence can be expressed as \( a_n = -2 \cdot 3^n \). This would represent a geometric sequence where each term is obtained by multiplying the previous term by a constant factor of \( 3 \), starting from \( -2 \) when \( n = 0 \).
If you could clarify the definition of \( m \) or confirm if it should be \( n \), I can provide further analysis or information about the sequence.
Quick Answer
The sequence is defined by \( a_n = -2 \cdot 3^n \), where each term is three times the previous one, starting with \( -2 \).
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