Question

What is the value of i20+1?

Answer 1

- I^20+1 i= /2 i^2= -1 i^3= -i i^4= 1 for every four it repeat itself. 4, 8, 12, 16, 20. therefore i^20=1 1+1=2.

Answer 2

The value of
`\(i^(20) + 1\)` is 2

The value of
`i^(20)` + 1 can be determined by considering the powers of the imaginary unit i

The powers of i follow a cycle:
`i^1` = i,
`i^2` = -1,
`i^3` = -i, and
`i^4` = 1. After
`i^4`, the powers repeat.

Since(20 is a multiple of 4, we know that
`\(i^(20)\)` will be equivalent to
`\(i^4\)`, which is 1.

Therefore,
`i^(20)` + 1 = 1 + 1 = 2

So, the value of
`\(i^(20) + 1\)` is 2