[tex]f)\ (-1)^{2k+1}+(-4)^2+(-1)^{2k}= (-1)+16+1= 16\\\\(-1)^{2k}= [(-1)^2]^k=1^k=1\\\\(-1)^{2k+1}= (-1)^{2k}*(-1)= 1*(-1)=-1\\\\g) (-1)^{2k+1}+ (-1)^{2k}+(-1)^{2k-1}= (-1) + 1 + (-1) = -1\\\\(-1)^{2k-1}= (-1)^{2k} : (-1) = 1 : (-1) = -1[/tex]
