An algebra problem by Anika Jahin

Algebra Level 2

What is the value of i 2 + i 6 + i 15 i^2+i^6+i^{15} ?

Clarification : i = − 1 i=\sqrt{-1} .

− 2 + i -2+i 2 + i 2+i − 2 − i -2-i 2 − i 2-i

Anika Jahin by Anika Jahin , 25, Bangladesh

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1 solution

Anika Jahin
Mar 17, 2016

we know that i^2 = -1, i^3 = (i^2) * i =(-1)*i = -i, so we can easily solve the prob in this way.

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