Question

Stabiliti cati termeni contine fiecare sir.a)1,2,3,...,98,99,100;b)2,4,6,...,96,98,100.(Sume Gauss)

Answer 1

a) 1,2,3,4,.....,98,99,100 ............... are 100 termeni

b) 2,4,6,8,......,96,98,100 ----------- are 100:2 = 50 termeni

Answer 2

Prima sumă

1, 2 , 3, ........, 98 , 99 , 100 ⇒ numere consecutive până la 100 ⇒ deci 100 termeni

A doua sumă

2 , 4 , 6 ,........,96 , 98 , 100 ⇒ numere pare până la 100 ⇒ 100 : 2 = 50 ⇒ deci 50 termeni