Question

Calculati urmatoarele sume Gauss:
A) 54+55+56+…+172=
B)3+6+9+…+60=
C)4+8+12+…+240=
​

Answer 1

Explicație pas cu pas:

A)

54+55+56+..........+172=

=(172+54)×[(172-54):1+1]:2

=226×(118:1+1):2

=226×(118+1):2

=226×119:2

=26894:2

=13447

B)

3+6+9+..........+60=

=(60+3)×[(60-3):3+1]:2

=63×(57:3+1):2

=63×(19+1):2

=63×20:2

=63×10

=630

C)

4+8+12+..........+240=

=(240+4)×[(240-4):4+1]:2

=244×(236:4+1):2

=244×(59+1):2

=244×60:2

=244×30

=7320