Function FX = 1 / 4 ^ x + m (M > 0), when X1 + x2 = 1, FX1 + FX2 = 1 / 2, 1, find the value of M 2. The known sequence an satisfies an = F0 + F (1 / N) + F (2 / N) + +F (n-1 / N), find an 3, if Sn = a1 + A2 + a3 + +An, Sn 4 ^ x + m is the denominator x1, and X2 belongs to R

Function FX = 1 / 4 ^ x + m (M > 0), when X1 + x2 = 1, FX1 + FX2 = 1 / 2, 1, find the value of M 2. The known sequence an satisfies an = F0 + F (1 / N) + F (2 / N) + +F (n-1 / N), find an 3, if Sn = a1 + A2 + a3 + +An, Sn 4 ^ x + m is the denominator x1, and X2 belongs to R

FX1 = 1 / (4 ^ X1 + m) FX2 = 1 / (4 ^ x2 + m) FX1 + FX2 = [(4 ^ X1 + 4 ^ x2) + 2m] / [4 ^ (x1 + x2) + m (4 ^ X1 + 4 ^ x2) + m ^ 2] let t = 4 ^ X1 + 4 ^ X2, simplify FX1 + FX2 = (T + 2m) / (4 + MT + m ^ 2) = 1 / 22T + 4m = 4 + MT + m ^ 2m ^ 2 + (T-4) m + 4-2t = 0 (m-2) (m-2 + T) = 0m = 2 or M = 2-T = 2-4 ^ x1-4 ^ X