- Thread starter
- Admin
- #1
- Feb 14, 2012
- 3,967
Hi members of the forum,
I have been trying so hard to prove the following:
\(\displaystyle \frac{1989}{2}-\frac{1988}{3}+\frac{1987}{4}-\cdots-\frac{2}{1989}+\frac{1}{1990}=\frac{1}{996}+\frac{3}{997}+\frac{5}{998}+\cdots++\frac{1989}{1990}\)
but to no avail and what I couldn't bear was that my approach gave me a tremendously messy bundle of terms everywhere on the paper...
Could you please at least give me some idea on how to prove it?
Thanks in advance.
I have been trying so hard to prove the following:
\(\displaystyle \frac{1989}{2}-\frac{1988}{3}+\frac{1987}{4}-\cdots-\frac{2}{1989}+\frac{1}{1990}=\frac{1}{996}+\frac{3}{997}+\frac{5}{998}+\cdots++\frac{1989}{1990}\)
but to no avail and what I couldn't bear was that my approach gave me a tremendously messy bundle of terms everywhere on the paper...
Could you please at least give me some idea on how to prove it?
Thanks in advance.