The denominators don`t form an arithmetic sequence!

Algebra Level 3

If the value of

\(\frac{2}{1\times3}+\frac{3}{3\times6}+\frac{5}{6\times11}+\frac{7}{11\times18}+\frac{11}{18\times29}+\frac{13}{29\times42}+\frac{17}{42\times59}+\frac{19}{59\times78}+\frac{23}{78\times101}+\frac{1}{101}\)

can be written as \(\frac{m}{n}\), then what is \(m-n\)?

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