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The value of sum(n= 1)^(13) (i^(n) + i^...

The value of `sum_(n= 1)^(13) (i^(n) + i^(n + 1))` , where `i=sqrt(-1)` is

A

`i`

B

`i-1`

C

`-i`

D

0

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The value of ((1 + i)^(2n + 1))/((1- i)^(2n -1)) =

    A
    1
    B
    2
    C
    `pm 2`
    D
    `-2`

  • 1 + i^(2) + i^(4) + i^(6) + … +i^(2n) =

    A
    positive
    B
    negative
    C
    0
    D
    cannot be determined

  • sum_(i=1)^(n) sum_(j=1)^(i) sum_(k=1)^(j) 1, is equal to

    A
    `( n(n+1)(2n+1) )/( 6)`
    B
    `( ( n (n+1))/( 6) )^(2)`
    C
    `((n(n+1) )/(6) )^(2)`
    D
    `(n ( n+1)(n+2) )/( 6)`

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