Question

Îmi puteți explica cum se rezolva suma lui gauss.Un exercitiu:79+82+85+88.....+184=

Answer 1

S = 79 + 82 + 85 + 88 + ..... + 184

→ aflu cati termeni are suma cu ratia = 3 ( 82 - 79 = 3;  85 - 82 = 3 )

( 184 - 79 ) : 3 + 1 = 105 : 3 + 1 = 35 + 1 = 36 termeni are suma

→ aplic formula sumei lui Gauss

S = 36 × ( 79 + 184 ) : 2

S = 18 × 263

S = 4 734