Simplificati fractia 1+2+3+...+2015 supra 1+2+3+...+2014 va rog.

Răspunsul a fost dat de: USER7436
28 Agustus 2025 matematica 5 minute
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Clasă: Education Materie: matematica
Simplificati fractia 1+2+3+...+2015 supra 1+2+3+...+2014 va rog.
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calculezi sumele cu formula gauss

1+2+...+n=n*(n+1)/2

avem:

2015*1008/1007*2015=1008/1007


Răspunsul a fost dat în data 28 Agustus 2025
(156)
1 + 2 + 3 + ...+ 2015 = 2015 * 2016/2 = 2015 * 1008
1 + 2 + 3 + .......+ 2014 = 2014/2 * 2015 = 2015 * 1007
2015 se simplifica si ramane 1008/1007
Răspunsul a fost dat în data 28 Agustus 2025

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