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CBSE Class 10 Answered

Which term of the sequence 12+18i, 11+6i... Is purely real purely imagery  
Asked by rayanbanerjee4 | 26 Aug, 2019, 02:52: PM
answered-by-expert Expert Answer

The question should be like this

Which term of the sequence 12 + 8i, 11 + 6i, 10 + 4i... Is purely real purely imaginary?
a = 12 + 8i and d = -1 - 2i
The real term be an = a + (n - 1)d
an = 12 + 8i + (n - 1)(-1 + 2i)
Solving we get
an = (13 - n) + (10 - 2n)i
If it is real then 10 - 2n = 0 then n = 5
If it is imaginary then 13 - n = 0 
Hence, n = 13
Answered by Sneha shidid | 26 Aug, 2019, 03:15: PM

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