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Updated on: 03 Oct 2007, 15:33
Originally posted by KillerSquirrel on 03 Oct 2007, 03:23.
Last edited by KillerSquirrel on 03 Oct 2007, 15:33, edited 1 time in total.
Last edited by KillerSquirrel on 03 Oct 2007, 15:33, edited 1 time in total.
Kudos
Bookmarks
All of us know that n^0 = 1, but how many of us know why?
I found this nice explanation at https://mathforum.org/dr.math/
"Let's first look at an example. Let's look at the list of numbers 3^1, 3^2, 3^3, 3^4, ....
Finding the actual values, we get 3, 9, 27, 81, ....
So what is the pattern in the bottom sequence? Well, every time you move to the right in the list you multiply by 3, and every time you move to the left in the list you divide by 3. So we could take the bottom sequence and keep going to the left and dividing by 3, and we'd have the sequence that looks like this:
..., 3^-3, 3^-2, 3^-1, 3^0, 3^1, 3^2, 3^3, 3^4, ....
..., 1/27, 1/9, 1/3, 1, 3, 9, 27, 81, .... "
I found this nice explanation at https://mathforum.org/dr.math/
"Let's first look at an example. Let's look at the list of numbers 3^1, 3^2, 3^3, 3^4, ....
Finding the actual values, we get 3, 9, 27, 81, ....
So what is the pattern in the bottom sequence? Well, every time you move to the right in the list you multiply by 3, and every time you move to the left in the list you divide by 3. So we could take the bottom sequence and keep going to the left and dividing by 3, and we'd have the sequence that looks like this:
..., 3^-3, 3^-2, 3^-1, 3^0, 3^1, 3^2, 3^3, 3^4, ....
..., 1/27, 1/9, 1/3, 1, 3, 9, 27, 81, .... "
Archived Topic
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04 Oct 2007, 07:08
Kudos
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Fig
Nice !
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
