Question

Aflați suma numerelor folosind metoda Gauss:
A)5+6+7+8+......... +132+133
B)10+11+12+13+........+98+99+100
C)55+56+57+.........+77+78+79​

Answer 1

Explicație pas cu pas:

a)5+6+7+8+...+132+133=1+2+3+...+133-1+2+3+4=(133×134)÷2-10=133×67-10=9801

b)10+...+100=100×101÷2-9×10÷2=50×101-9×5=5050-45=5005

c)55+56+...+79=79×80÷2-54×55÷2=79×40-27×55(calculezi tu)