复数数列{an} 满足a1=0 ,an=[a(下标)n-1]^2+i (n>=2,i 为虚数单位),则它的前2007 项的和为详细过程.
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![复数数列{an} 满足a1=0 ,an=[a(下标)n-1]^2+i (n>=2,i 为虚数单位),则它的前2007 项的和为详细过程.](/uploads/image/z/7214201-17-1.jpg?t=%E5%A4%8D%E6%95%B0%E6%95%B0%E5%88%97%7Ban%7D+%E6%BB%A1%E8%B6%B3a1%3D0+%2Can%3D%5Ba%28%E4%B8%8B%E6%A0%87%EF%BC%89n-1%5D%5E2%2Bi+%28n%3E%3D2%2Ci+%E4%B8%BA%E8%99%9A%E6%95%B0%E5%8D%95%E4%BD%8D%29%2C%E5%88%99%E5%AE%83%E7%9A%84%E5%89%8D2007+%E9%A1%B9%E7%9A%84%E5%92%8C%E4%B8%BA%E8%AF%A6%E7%BB%86%E8%BF%87%E7%A8%8B.)
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复数数列{an} 满足a1=0 ,an=[a(下标)n-1]^2+i (n>=2,i 为虚数单位),则它的前2007 项的和为详细过程.
复数数列{an} 满足a1=0 ,an=[a(下标)n-1]^2+i (n>=2,i 为虚数单位),则它的前2007 项的和为
详细过程.
复数数列{an} 满足a1=0 ,an=[a(下标)n-1]^2+i (n>=2,i 为虚数单位),则它的前2007 项的和为详细过程.
a1=0
a2=a1^2+i=i
a3=i^2+i=i-1
a4=(i-1)^2+i=-i
a5=(-i)^2+i=i-1
a6=(i-1)^2+i=-i
.
a1+a2+a3+...+a2007=0+i+i-1-i+i+1-i.+i-1
=i-1002+i-1
=2i-1003
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