
Home > A2C > Chapter 9 > Lesson 9.2.2 > Problem 9-92
9-92.
i0 = 1 Can you see the pattern?
i1 = i
i2 = −1
i3 = (i)(i2) = −i
i4 = (i2)(i2) = 1
i5 = (i2)(i2)(i) = i
The pattern repeats 1, i, −1, and −i
16 is a multiple of 4.
25 is on more than a multiple of 4.
39 is one less than a multiple of 4.
100 is a multiple of 4.
i16 = 1
i25 = i
i39 = −i
i100 = 1
4n is a multiple of 4.
Refer to (a), (b), and (c).
i396 = i4·99 = 1
i397 = i4·99+1 = ?
i398 = i4·99+2 = ?
i399 = ?