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For positive integers n(1) and n(2) the ...

For positive integers `n_(1)` and `n_(2)` the value of the expression
`(1+i)^(n_(1))+(1+i^(3))^(n_(1))+(1+i^(5))^(n_(2))+(1+i^(7))^(n_(2))` is a real number if and only if

A

`n_(1)=n_(2)+1`

B

`n_(1)=n_(2)-1`

C

`n_(2)=n_(2)`

D

`n_(1) gt 0, n_(2) gt 0`

Text Solution

Verified by Experts

The correct Answer is:
D
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HIMALAYA PUBLICATION-COMPLEX NUMBERS-QUESTION BANK
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