Sequence And Series Question 389

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

Options:

A) 5th

B) 7th

C) 8th

D) 6th

Show Answer

Answer:

Correct Answer: A

Solution:

Given sequence is $ \frac{p+q-r-p}{(r+p)(p+q)}=\frac{r+p-q-r}{(q+r)(r+p)} $ Hence $ 5^{th} $ term is purely imaginary.