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Question

In a geometrical progression first term and common ratio are both 12(3+i). Then the absolute value of the nth term of the progression is

A
2n
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B
4n
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C
1
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D
none of these
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Solution

The correct option is C 1
α=12(3+i),r=12(3+i)
Tn=αrn1=[12(3+i)]n=(reiθ)n
where r = 1 and θ=π6
Tn=einθ|Tn|=|einθ|=1

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