Question

4+8+12+...+2000=
Suma lui Gauss nu reusesc sa o fac si va rog sa ma ajutati

Answer 1

$\displaystyle 4+8+12+...+2000=4(1+2+3+...+500)= \\ \\ =4 \times \frac{500(500+1)}{2} =4 \times \frac{500 \times 501}{2} =4 \times \frac{250500}{2} = \\ \\ =4 \times 125250=501000$