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दम्भो दर्पोऽभिमानश्च क्रोध: पारुष्यमेव च |अज्ञानं चाभिजातस्य पार्थ सम्पदमासुरीम् ||

Cyclic Nature of the Powers of i

Cyclic Nature of the Powers of i

To be cyclic means to be repetitive in nature. When the imaginary unit, i, is raised to increasingly larger powers, it creates a cyclic pattern.

The powers of i repeat in a definite pattern:

( i, -1, -i, 1 )

Cyclic-Nature-of-the-Powers-of-1

Cyclic-Nature-of-the-Powers-of-2

Cyclic-Nature-of-the-Powers-of-3

Cyclic-Nature-of-the-Powers-of-4

When raising i to any integral power, the answer is always i, -1, -i or 1.

Cyclic-Nature-of-the-Powers-of-5

Cyclic-Nature-of-the-Powers-of-6

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