I need help with a math problem

Mathematics
Tutor: None Selected Time limit: 1 Day

Let n, m be natural numbers, and assume n < m. Prove that (m-n)/m > 1/(n+1) + 1/(n+2) + ... + 1/m.

Nov 29th, 2015

Thank you for the opportunity to help you with your question!

1/(n+1)+1/(n+2)+...+1/m < 1/n+1/n+...+1/n =(m-n)/n

because the sum has (m-n) terms

Hence

 (m-n)/n >  the given sum

Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 29th, 2015

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