(Review of summation notation) Let x1, c, xn denote a sequen
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(Review of summation notation) Let x1, c, xn denote a sequence of numbers, y1, c, yn denote another sequence of numbers,
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(Review of summation notation) Let x1, c, xn denote a sequence of numbers, y1, c, yn denote another sequence of numbers, and a, b, and c denote three constants. Show that a. a n i = 1 axi = aa n i = 1 xi b. a n i = 1 (xi + yi ) = a n i = 1 xi + a n i = 1 yi c. a n i = 1 a = na d. a n i = 1 (a + bxi + cyi ) 2 = na2 + b2 a n i = 1 x2 i + c2 a n i = 1 y2 i + 2aba n i = 1 xi + 2aca n i = 1 yi + 2bca n i = 1 xi yi
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