A mathematical fraction test Fill in question 15. How did you get it? Why? Because f (n) + F (1 / N) = 1 So f (2) + F (1 / 2) +... + F (n) + F (1 / N) = n-1?

A mathematical fraction test Fill in question 15. How did you get it? Why? Because f (n) + F (1 / N) = 1 So f (2) + F (1 / 2) +... + F (n) + F (1 / N) = n-1?

Because f (n) + F (1 / N) = 1, when n = 2, f (2) + F (1 / 2) = 1, when n = 3, f (3) + F (1 / 3) = 1... So f (2) + F (1 / 2) +... + F (n) + F (1 / N) is the sum of (n-1) ones, so f (2) + F (1 / 2) +... + F (n) +... + F (1 / N) = n-1 and f (1) = 1 / 2, so f (1) + F (2) +... + F (n) + F (1 / N) = n-1 / 2

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