if 1^2 = -1 then what does i^5+i^6+i^7= anyone give me somewhere to start on this one
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I'm sure it was just a typo, but it should be . To compute just calculate what is, what is and what is, then add them together.
For example, you know that , so . Continuing on, and continue in this process.
A simple but interesting result which we obtain from above is that : The sum of any 4 consecutive powers of is equal to zero.
Hence using this result,
Hence the value of the given expression is merely
and we know,
Hence the required answer is
so how do we know that i^4 = 1 and why then would -i^8 = -1
Square both sides,
Now, square both sides again,
ok thanks again for your patience
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