Tuesday, December 6, 2016

sequences and series - Why does 1+2+dots+2003=dfrac2004cdot20032?






Why does 1+2++2003=200420032?




Sorry if this is missing context; not really much to add...



Answer



S=1+2+3++2001+2002+2003S=2003+2002+2001++3+2+12S=2004+2004+2004++2004+2004+2004



There are 2003 columns, so 2S=20032004, and therefore S=200320042.


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