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For positive integers n1,n2 the value o...

For positive integers `n_1,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)` where `i = sqrt(-1)` is a real number if and only if

A

`n_1 = n_2 +1`

B

`n_1 = n_2 =-1`

C

`n_1 = 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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