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Mathematics
Problem
If
z
r
=
1
3
r
i
z_r = \frac{1}{3^r}i
z
r
=
3
r
1
i
, where
i
=
−
1
i=\sqrt{-1}
i
=
−
1
, prove that
z
1
z
2
z
3
…
z_1 z_2 z_3 \dots
z
1
z
2
z
3
…
upto infinity
=
i
= i
=
i
.
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