The sequence given is: \(-128, -118, -108, -98, \ldots\).
To determine the type of sequence, we can look for a pattern in the differences between consecutive terms:
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The difference between \(-128\) and \(-118\) is: \[ -118 - (-128) = -118 + 128 = 10 \]
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The difference between \(-118\) and \(-108\) is: \[ -108 - (-118) = -108 + 118 = 10 \]
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The difference between \(-108\) and \(-98\) is: \[ -98 - (-108) = -98 + 108 = 10 \]
Since the difference between consecutive terms is constant (10), this sequence is an arithmetic sequence.
In general, an arithmetic sequence can be described by the formula: \[ a_n = a_1 + (n-1)d \] where \(a_1\) is the first term, \(d\) is the common difference, and \(n\) is the term number.
In this case, the first term \(a_1 = -128\) and the common difference \(d = 10\).