复数的题目,急!!
i+2(i)^2+3(i)^3+……+1999(i)^1999+2000(i)^2000+2001(i)^2001=?
参考答案:i + 2(i)^2 + 3(i)^3 + …… + 1999(i)^1999 + 2000(i)^2000 + 2001(i)^2001
= (-2 + 4 - 6 + 8 .....+ 2000) + (1 - 3 + 5 - 7 + 9 ....+ 2001)*i
= 2*500 + (1 + 2*500)*i
= 1000 + 1001*i