Question

Va rog frumos imi puteti arata cum se rezolva aceasta suma a lui gauss: S=2°+2¹+2²+2³+…+2³³?

Answer 1

[tex]S=2^{0}+2^{1}+2^{2}+.........+2^{n}=2^{n+1}-1 \\ S=2^{0}+2^{1}+2^{2}+........+2^{33}=2^{33+1}-1 \\ S=2^{34}-1[/tex]