To identify the pattern in the sequence \(-3, 9, -27, 81, \ldots\), let's analyze the relationship between the numbers:
- Start with \(-3\).
- The next number is \(9\), which can be obtained from \(-3 \times -3 = 9\).
- The next number is \(-27\), which can be calculated from \(9 \times -3 = -27\).
- The next number is \(81\), which comes from \(-27 \times -3 = 81\).
From this, we can see that the pattern involves multiplying by \(-3\) alternately. Therefore, the sequence can be described as follows:
- Start with \(-3\)
- Multiply by \(-3\) to get \(9\)
- Multiply by \(-3\) to get \(-27\)
- Multiply by \(-3\) to get \(81\)
Continuing this pattern:
- Multiply \(81\) by \(-3\) to get \(-243\).
- Multiply \(-243\) by \(-3\) to get \(729\).
Thus, the next two numbers in the pattern are \(-243\) and \(729\).
In conclusion, the next two numbers are: \(-243, 729\).
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