Home
Class 11
MATHS
Evaluate 1+i^2+i^4+i^6+...+i^(2n)dot...

Evaluate `1+i^2+i^4+i^6+...+i^(2n)dot`

A

positive

B

negative

C

0

D

cannot be evaluated.

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS FILL IN THE BLANKS (B)|10 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS TRUE/FALSE QUESTIONS (C)|5 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Exercise 5 (j) Long Answer Type Questions|12 Videos
  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise COMPETITION FILE (JEE MAIN)|11 Videos
  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|12 Videos

Similar Questions

Explore conceptually related problems

Evaluate 1+i+i^2+i^3

Find the value of 1+i^(2)+i^(4)+i^(6)+...+i^(2n)

Find the value of 1+i^(2)+i^(4)+i^(6)+...+i^(2n), where i=sqrt-1 and nEN.

Find the value of ( i^2 + i^4 + i^6 + i^7 ) / ( 1 + i^2 + i^3 ) is ( a ) 1 - i ( b ) 1 + i ( c ) 2 - i ( d ) 2 + i

Evaluate: (i^(2)+i^(4)+i^(6)+i^(7))/(1+i^(2)+i^(3))

Evaluate 2i^(2)+ 6i^(3)+3i^(16) -6i^(19) + 4i^(25)

Find the value of 1+i^2+i^4+i^6+i^8+.....+i^20