Thursday, September 25, 2008

Extra Credit - Powers of i (Part B)

One point of extra credit if you post a correct response to this question

Please complete p.280 #100 part A.

Post a comment describing the pattern you observe in the table.
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7 comments:

Anonymous said...

i^1= i
i^2= -1
i^3= -i
i^4= 1
i^5= i
i^6= -1
i^7= -i
i^8= 1

The same pattern appears every fourth exponent. i.e. i^97 is i. i^98 is -1. i^99 is -i. And i^100 is 1.

6:41 PM
Anonymous said...

-Julie Ana Abreu

The pattern concerning the powers of i is repeated in every 4th exponent.
The Pattern is ...i, -1, -i, 1 ...i, -1, -i, 1 and repeating.

i.e. - i^1=i , i^2=-1, i^3=-i, i^4=1
i^5=i, i^6=-1, i^7=-i, i^8=1

3:11 PM
Anonymous said...

the pattern that i have observe is that i to the first power is i, i to the second power is -1 , i to the third power is -i so with this i to the 4th power is 1, i to the 5th power is i, i to the 6th power -1, i to the 7th power is -i and i to the 8th power is 1. The pattern keeps going on and on.

PART C: i to the 26th power is -1 and i to the 83rd power is -1.

3:25 PM
Anonymous said...

i, -1, -i, i, -1

The pattern that I saw is i, -1. -i repeating in that order.

i^26 is -1 and so is i^83

Yep yep

2:17 PM
Anonymous said...

-Kayla Sylvester
2nd block

From what I saw, the pattern re-starts every 4th exponent.

so the pattern would be: i,-1,-i,1/i,-1,-i,1/i,-1,-i,1

part c-
i^26=-1 and i^83=-1 as well

4:39 PM
Anonymous said...

it restarts every 4th exponent

the pattern is i,-1,-i,1/ i,-1,-i,1 and so on

i^26=-1
i^83=-1

6:56 AM
Anonymous said...

Xavalys Figueroa

On part B of the Powers of i I've noticed that after every 4th exponent the pattern would repeat.

The repeating pattern was i,-1,-i. and 1.

2:31 PM

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