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cpusspuss

Name: Anonymous 2012-09-24 21:11

In mathematics, the Nth harmonic number is defined to be 1 + 1/2 + 1/3 + 1/4 + ... + 1/N. So, the first harmonic number is 1, the second is 1.5, the third is 1.83333... and so on. Assume that  n is an integer variable whose value is some positive integer N. Assume also that  hn is a  double variable whose value is the Nth harmonic number. Write an expression whose value is the (N+1)th harmonic number.

Why is the answer:
hn + 1/(n+1)
incorrect?

Name: Anonymous 2012-09-24 21:31

If n is a positive integer, 1/(n+1) can only ever be 0.

hn + 1.0 / (n + 1)

Except that 1 and 1.5 are the only harmonic numbers that can be represented exactly by a double.

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