Question

Calculati:
i×$i^{2}$×$i^{3}$×...×$i^{100}$

Answer 1

i×i²×i³×....×i¹⁰⁰=
=i⁽¹⁺²⁺³⁺   ⁺¹⁰⁰⁾=i⁵⁰⁵⁰ =                                      i²=-1
=(i²)²⁰²⁵=(-1)²⁰²⁵=-1
1+2+3+...+100=100×101:2=5050