Complex sequence

Algebra Level 3

Which term of the sequence 8-6i, 7-4i, 6-2i............... is pure imaginary

Here i is square root of -1

9 14 4 A complex number AP does not contain puraly imaginary numbers

Aman Sharma by Aman Sharma , 25, India

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1 solution

The general term of the sequence is ( 9 − n ) + ( 2 n − 8 ) ∗ i . S o n = 9 h a s n o r e a l p a r t . 9 (9-n) + (2n-8)*i .~ So~ n=9~ has~ no~ real~ part.\\ \boxed{9 }

3 Helpful 0 Interesting 0 Brilliant 0 Confused

Do it, in reverse, Niranjan, then there would only be 9-8i...

Eug Torres - 6 years, 8 months ago

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