To find the sum of the first 15 terms of the arithmetic progression (AP) -7, -6, -5, we first identify the first term (a = -7) and the common difference (d = 1) (since -6 - (-7) = 1). The formula for the sum of the first (n) terms of an AP is given by (S_n = \frac{n}{2} \times (2a + (n-1)d)). Plugging in the values, we get (S_{15} = \frac{15}{2} \times (2 \times -7 + 14) = \frac{15}{2} \times 0 = 0). Thus, the sum of the first 15 terms is 0.
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