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Question
State true or false for the following:
If n is a positive integer, then the value of in + (i)n+1 + (i)n+2 + (i)n+3 is 0.
Options
True
False
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Solution
This statement is True.
Explanation:
Because in + (i)n+1 + (i)n+2 + (i)n+3
= in(1 + i + i2 + i3)
= in(1 + i – 1 – i)
= in(0)
= 0
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