Which term of the sequence: `16-6i, 15-4i,14-2i`………. Is pure imaginary?

Which term of the sequence 4,6,14,19. is 124?

Which term of the sequence 8-6i,7-4i,6-2i,...... is (i) purely real (ii) purely imaginary?

Which term of the A.P. (16-6i,)(15-4i), (14-2 i), ... is a : (a) pure real number ? (b) pure imaginary number ?

Which term of the sequence 12+8i,11+6i,10+4i,cdots is a purely real b.purely imaginary?

Statement 1: the sum of first 30 terms of the sequence 1,2,4,7,11,16,22.... is 4520. Statement 2: If the successive differences of the terms of a sequence form an A.P. then general term of sequence is of the form an^2+bn+c. (i) Statement I is correct , Statement II is correct , Statement II is correct explanation of Statement I (ii) Statement I is correct , Statement II is correct , Statement II is not correct explanation of Statement I (iii) Statement I is True , Statement II if False (iv) Statement I is False , Statement II if True

The smallest positive integral value of n for which ((1-i)/(1+i))^(n) is purely imaginary with positive imaginary part is

Let z!=i be any complex number such that (z-i)/(z+i) is a purely imaginary number.Then z+(1)/(z) is

The value of x in[-2pi,2pi] such that (sinx+icosx)/(1+i),i=sqrt(-1) , is purely imaginary ,are given by

If z is a complex number such that (z-i)/(z-1) is purely imaginary, then the minimum value of |z-(3 + 3i)| is :