i为虚数单位,1/i+1/i*3+1/i*5+1/i*7=

Question

i为虚数单位,1/i+1/i*3+1/i*5+1/i*7=

Answer 1

1/i+1/i*3+1/i*5+1/i*7
=1/i(1+1/3+1/5+1/7)
=1/i*(105+35+21+3)/105
=164/105i