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i^(n) + i^(n+1) + i^(n + 2) + i^(n + 3)...

`i^(n) + i^(n+1) + i^(n + 2) + i^(n + 3)`

A

0

B

1

C

`-1`

D

i

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Knowledge Check

  • If (i)^(2) = -1, (i)^(2) + (i)^(4) + (i)^(6) + ...... to (2n + 1) terms =

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    `-1`
    B
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    C
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    D
    2

  • The value of sum_(k=0)^(n)(i^(k)+i^(k+1)) , where i^(2)= -1 , is equal to

    A
    `i- i^(n)`
    B
    `-i+ i^(n+1)`
    C
    `i- i^(n+1)`
    D
    `i- i^(n+2)`

  • The value of sum_(i=1)^(13) (n^(n) + i^(n-1)) is

    A
    1 + i
    B
    i
    C
    1
    D
    0

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