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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
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Knowledge Check

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

    A
    `1+i`
    B
    `1-i`
    C
    `-i-1`
    D
    `2+i`

  • The value of 1+i^2+i^4+i^6+…+i^(2n) is

    A
    positive
    B
    negative
    C
    zero
    D
    Cannot be determined

  • The value of i^(2n) + i^(2n+1) + i^(2n+2) + i^(2n+3) , where i = sqrt( -1) is :

    A
    0
    B
    1
    C
    i
    D
    `-i`

    • Similar Questions

    Explore conceptually related problems

    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))

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