Question

Cum calculez suma Gauss:6+7+8+...+47=

Answer 1

Numarul de termeni=(47-6):1+1
N=41+1
N=42

Suma Gauss=(47+6)*42:2
S=53*42:2
S=2226:2
S=1113

Answer 2

S = 6  +  7 +  8 +  ...  +  46  +  47  
S =47 + 46+ 45+  ...  +   7   +   6

Adunam pe verticala:

2S = (6 + 47) + (7 + 46) + (8 + 45) + ... + (46 + 7) + (47 + 6)

S are: (47-6)+1=41+1=42 de termeni.

2S = 53 + 53 + 53 + ... + 53 + 53   (42 de termeni)
2S = 53·42

S = 53·42/2

S = 1113