MCQ
The value of ${i^{1 + 3 + 5 + ... + (2n + 1)}}$ is
- A$i$ if $n$ is even, $-i$ if $n$ is odd
- B$1$ if $n$ is even, $-1$ if $n$ is odd
- ✓$1$ if $n$ is odd, $-1$ if $n$ is even
- D$i$ if $n$ is even,$ -1$ if $n$ is odd
Now put $n = 1,\,2,\,3,\,4,\,5,\,.....$
$n = 1,z = {i^4} = 1$, $n = 2,\,z = {i^6} = - 1$,
$n = 3,\,z = {i^8} = 1$, $n = 4,\,z = {i^{10}} = - 1$,
$n = 5,\,\,z = {i^{12}} = 1\,,........$
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