Thank you for the opportunity to help you with your question!
i^1 = i i^2 = -1 i^3 = -i i^4 = 1
And it will keep going as i, -1, -i, 1, i, -1, -i, 1, etc. So any exponent that's a multiple of 4 will equal 1, and you can figure out the values of non-multiples by counting up or down from the multiple of 4.
So onto the your math problem! i = i i^2 = -1 i^3 = -i L = huh? i^23 = -i (i^24 is 1. One number before that in the pattern is -i).
I have no idea what the "L" means, so I will ignore it. If it's a typo, hopefully you will understand how to do it on your own. It will be pointless for me to continue, since the answer will be different from your choices. But....
i + i^2 + i^3 + i^23 = i - 1 - i - i = -i - 1
Just add whatever L is supposed to be. And there's your answer
Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 4th, 2015
Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.