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1.2+2.3+3.4+.....+n.(n+1)
En este caso te piden
1.2+2.3+3.4+.....+15.16
n = 15
La formula :
S = n . (n+1) . (n+2) / 3
Reemplazas
S = 15 . 16 . 17 / 3
S= 4080 / 3
S= 1360
Rpta: 1360
Espero haberte ayudado :3!