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Write the sum using summation notation, assuming the suggested pattern continues. -9 - 4 + 1 + 6 + ... + 66
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Since this is an arithmetic sequence and the common difference between each term is 5, we can use this formula, \[\sum_{k = 0}^{ n -1} (a+kd) = \frac{ n }{ 2 }(2a + (n -1)d)\] to find out what term 66 is.
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