乗法を利用した簡素化 (-5)^(2n+1)+5×(-5)^2n+2000^(2n+1)×(1/2000)+n

乗法を利用した簡素化 (-5)^(2n+1)+5×(-5)^2n+2000^(2n+1)×(1/2000)+n

(-5)^(2n+1)+5×(-5)^2n+2000^(2n+1)×(1/2000)+n
=(-5)×(-5)×+5×5^2n+2000×2000^2n2n×(1/2000)n
=-5×5^2n+5×5^2n+2000×2000^(2n)×(1/2000)
=0+2000×(2000×1/2000)
=2000×1
=2000