Which of the following is a negative integer if i= #sqrt(-1)#? A) #i^24# B) #i^33# C) #i^46# D) #i^55# E) #i^72#
2 Answers
Mar 18, 2018
Explanation:
the powers of
in this set, the only negative integer is
for the power of
Mar 21, 2018
C)
Explanation:
Note that:
#i^0 = 1#
#i^1 = i#
#i^2 = -1#
#i^3 = -i#
#i^4 = 1#
So the increasing powers of
#i^(4k) = 1#
#i^(4k+1) = i#
#i^(4k+2) = -1#
#i^(4k+3) = -i#
for any integer
The only one of these values which is negative is
Hence the correct answer is C) since