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correction - Reiny

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last two lines should be ... = 1/(2(x-1)) - 1/(2(x+1)) or (1/2))(1/(x-1)) - 1/(x+1) )
what is 11250(.75)^2 ?
Using the familiar formulas you have been given: "the 2th and 4th term of a gp are 8 and 32" ---> ar = 8 , ar^3 = 32 divide one equation by the other: ar^3 / (ar) = 32/8 r^2 = 4 r = ± 2 if r = 2, a(2) = 8 ----> a = 4 if r = -2, a = -4 sum(9) = a(r^9 -
should be: f(1/2017) + f(2/2017) +f(3/2017) + ...+ f(2016/2017) = 1/65636 + 2/65636 + 3/65636 + .... + 2016/65636 , for 2016 terms = (1/65636)(1+2+3+...+2016) = (1/65636)(1008)(1+2016) = 2033136/65636 = 508284/16409
correction: I miscounted. The pink plus blue is triangle with base of 8 and height of 8 area of that = (1/2)(8)(8) = 32 units^2 so the area you want = 100-50-32 = 18 units^2

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