Question

i^135 +i^136 +i^137 +i✓138​

Answer 1

Answer:

0

Step-by-step explanation:

we know that,

i = √-1

i² = (√-1)² = -1

i³ = i² x i = -i

i^4 = (i²)² = (-1)² = 1

135 = 4(33) + 3

=> i^135 = i^4(33) + i^3 = 1 x -i = -i

=> i^136 = 1 , i^137 = i , i^138 = -1

.•. i^135 +i^136 +i^137 +i^138 = -i + 1 + i + (-1) = 0