Final answer:
The value of i^20+1 is i.
Step-by-step explanation:
The value of i20+1 can be found by simplifying the powers of i. We start with i1 which is equal to i. Then we find the pattern of the powers of i: i2 = -1, i3 = -i, i4 = 1. Since the powers of i repeat every 4 terms, we can simplify i20+1 as i21. Since 21 is divisible by 4 with a remainder of 1, i21 is equal to i. Therefore, the value of i20+1 is i.