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The explicit (arithmetic) sequence for the pattern is: -11, -18, -25, -32, ...

User Gereon
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Final answer:

The given sequence is an arithmetic sequence with a common difference of -7. The general formula for finding the nth term of an arithmetic sequence can be used to calculate each term.

Step-by-step explanation:

The given sequence is: -11, -18, -25, -32, ...

This is an example of an arithmetic sequence where each term is obtained by subtracting a constant value (-7) from the previous term.

So, the general formula for the nth term of this arithmetic sequence is given by: an = a1 + (n-1)d, where an represents the nth term, a1 represents the first term, and d represents the common difference.

For this sequence, a1 = -11 and d = -7. Therefore, the nth term can be calculated using the formula: an = -11 + (n-1)(-7).

User NM Pennypacker
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