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Calculati:
i×[tex] i^{2} [/tex]×[tex] i^{3} [/tex]×...×[tex] i^{100} [/tex]


Răspuns :

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