PSAT Math Multiple-Choice Question 760: Answer and Explanation
Question: 760
Given that , what is the value of i4 + i12?
- A.
- B. -1
- C. 1
- D. 2
Correct Answer: D
Explanation:
(D) i4 + i12 = 1 + 1 = 2. Know that the powers of i repeat in a cycle of four:
i1 = i, i2 = -1, i3 = -i, i4 = 1, i5 = i, . . .
That way, you can look at the value of the exponent and know what the value of ix will be without having to do any long calculations.
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