Determine the value of i4k+2+i4k+3i^{4k+2} + i^{4k+3}i4k+2+i4k+3 for any integer k≥0k \ge 0k≥0.
1+i1+i1+i
−1−i-1-i−1−i
1−i1-i1−i
−1+i-1+i−1+i