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I : i^2+i^4+i^6+......(2n+1) terms = - ...

I : `i^2+i^4+i^6+......(2n+1)` terms = - 1
II : `1+i^2+i^4+i^6+......i^(2n)=0`

A

only I is true

B

only II is true

C

both I and II are true

D

neither I nor II are true

Text Solution

Verified by Experts

The correct Answer is:
A
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Knowledge Check

  • Statement - I : If n = 4m + 3 , is integer then i^(n) is equal to -i Statement- II : If n in N then (1 + i)^(2n) + (1- i)^(2n) is purely real number

    A
    Only I is true
    B
    Only II is true
    C
    Both I and II are true
    D
    Neither I nor II are true

  • i+ i^(2) + i^(3) + i^(4) + …. + i^(100)

    A
    0
    B
    `i`
    C
    `i-1`
    D
    `-1`

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

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

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