Which term of the sequence (-8 + 18i), (-6 + 15i), (-4 + 12i),....is purely imaginary

5^th

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7^th

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8^th

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6^th

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Solution

The correct option is A

5^th

Given sequence is (-8 + 18i), (-6 + 15i), (-4 + 12i), (-2 + 9i), (0 + 6i),.....
Hence 5^thterm is purely imaginary.

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23 \frac{1}{4,} 22 \frac{1}{2,} 21 \frac{3}{4}

(i) Which term of the sequence $24, 23 \frac{1}{4}, 22 \frac{1}{2}, 22 \frac{3}{4}, \dots \dots$ is the first negative term ?

(ii) Which term of the sequence $12 + 8 i, 11 + 6 i, 10 + 4 i, \dots \dots$ is (a) purely real (b) purely imaginary ?

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