" 2.Suppose "n" is a natural number such that "|i+2i+3i^(3)+...

Suppose n is a natural number such that |i + 2i^2 + 3i^3 +...... + ni^n|=18sqrt2 where i is the square root of -1 . Then n is

Suppose n is a natural number such that |i + 2i^2 + 3i^3 +...... + ni^n|=18sqrt2 where i is the square root of -1 . Then n is

Suppose n is a natural number such that |i + 2i^2 + 3i^3 +...... + ni^n|=18sqrt2 where i is the square root of -1 . Then n is

Suppose n is a natural number such that |i+2i^(2)+3i^(3)+......+ni^(n)|=18sqrt(2) where i is the square root of -1. Then n is

Prove that : Suppose that n is a natural number and I, F are respectively the integral part and fractional part of (7+4sqrt(3))^(n) . Then show that (i) I is an odd integer (ii) (I+F)(I-F)=1

Write the cubes of 5 natural numbers of the form 3n+2(ie.5,8,11,) and verify the following: The cube of a natural number of the form 3n+2 is a natural number of the same form 3n+2 is a natural number of the same form i.e.when it is dividend by 3the remainder is 2

What is ((1+i)^(4n+5))/((1-i)^(4n+3)) equal to, where n is a natural number and i=sqrt(-1) ?

For n being a natural number prove that 1.1!+2.2!+3.3!+.....+n.n! =(n+1)!-1 by applying P.M.I

Suppose A is square matrix such that A^(3) =I then (A+I)^(3) +(A-I)^(3)-6A equals