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Option A: -4+8i is the correct answer
Step-by-step explanation:
Given sequence is:
4, 4i
As it is given that the given sequence is an arithmetic sequence
WE have to find the common difference to find the next terms.
Common difference is the difference between two consecutive terms of an arithmetic sequence.
Here
[tex]a_1 = 4\\a_2 = 4i\\d = a_2-a_1 = 4i-4[/tex]
So, the next term will be:
[tex]a_3 = a_2+d\\a_3 = 4i + (4i-4)\\= 4i+4i-4\\= 8i-4[/tex]
Hence,
Option A: -4+8i is the correct answer
Keywords: Arithmetic sequence, common difference
Learn more about arithmetic sequence at:
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