Home
Class 11
MATHS
If n is any integer, then the value of (...

If `n` is any integer, then the value of `(-sqrt(-1))^(4n+3)`

A

`2i`

B

`-i`

C

`i`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER-1

    ICSE|Exercise Section-B|10 Videos

  • MODEL TEST PAPER-1

    ICSE|Exercise Section-C|10 Videos

  • MODEL TEST PAPER 14

    ICSE|Exercise SECTION C |10 Videos

  • MODEL TEST PAPER-15

    ICSE|Exercise SECTION-C |8 Videos

Similar Questions

Explore conceptually related problems

If n is any positive integer, write the value of (i^(4n+1)-i^(4n-1))/2 .

For any integer n, the argument of ((sqrt3+i)^(4n+1))/((1-isqrt3)^(4n))

If n is a positive integer, then (sqrt(3)+1)^(2n)-(sqrt(3)-1)^(2n) is (1) an irrational number (2) an odd positive integer (3) an even positive integer (4) a rational number other than positive integers

If rArr I_(n)=int_(0)^(pi//4) tan ^(n)x dx , then for any positive integer, n, the value of n(I_(n+1)+I_(n-1)) is,

For a positive integer n , find the value of (1-i)^(n) (1 - 1/i)^(n)

If (3sqrt(3)+5)^n=p+f. where p is an integer and f is a proper fraction. then find the value of (3sqrt3-5)^n,nin,N, is

If n is an odd integer greater than or equal to 1, then the value of n^3 - (n-1)^3 + (n-1)^3 - (n-1)^3 + .... + (-1)^(n-1) 1^3

If a is a non-real fourth root of unity, then the value of alpha^(4n-1)+alpha^(4n-2)+alpha^(4n-3), n in N is

For any positive real number a and for any n in N , the greatest value of (a^(n))/(1+a+a^(2)+…+a^(2n)) , is

If n is any positive integer , show that 2^(3n +3) -7n - 8 is divisible by 49 .