Consider z = 3StartRoot 3 EndRoot + 3i. What happens to the modulus and argument when z is raised to the 4th power?
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Answer:
Step-by-step explanation:
We are given the recursive formula:
This is the recursive formula for an arithmetic sequence.
The explicit formula for an arithmetic sequence is given by:
Where d=3 is the common difference.
We plug in this values to get:
We now expand and simplify to get:
We simplify to obtain:
(opposite angles in a parallelogram)
(subtraction)
(angles in a triangle add to 180 degrees)
(adjacent angles in a parallelogram are supplementary)
(subtraction)
(angles in a triangle add to 180 degrees)
(angles on a straight line add to 180 degrees)