I am really stuck in this question, and I really need help.
Find the Nth term of: 9, 99, 999, 9999....
This is a math pattern question, so if you are good at this, please help.
Also, please explain why. I need to learn understand it, and the person who explains it the easiest way will win the best choice.
2006-08-31 14:53:14 · 13 answers · asked by -anonimus- 2 in Education & Reference ➔ Homework Help
Please Help!!!
2006-08-31 14:59:53 · update #1
9 = 10 - 1 = 10^1 - 1
99 = 100 - 1 = 10^2 - 1
999 = 1000 - 1 = 10^3 - 1
9999 = 10000 - 1 = 10^4 - 1
nth term = 10^n - 1
2006-08-31 15:05:41 · answer #1 · answered by MsMath 7 · 5⤊ 0⤋
Oops I was too slow - MathGirl did it even better!!!
It appears the pattern is:
TERM 1 -9
TERM 2 - 99
TERM 3 -999
There are the same number of 9s as the term number. So presumably the Nth term would have N number of 9s.
Are you working on Geometric or Arithmetic Series and Sequences or just basic patterns?
If just basic patterns that should do it.
I was always bad with the Geo and Arit Series and Sequences. But if that's what you need.. I'll keep working on it.
2006-08-31 22:10:15 · answer #2 · answered by goodlittlegirl11 4 · 0⤊ 0⤋
You already have the answer. As to why you need this, that's not an easy question to answer briefly. What you're doing here is learning to recognize patterns and express them mathematically. If you're going on in mathematics or physical science, and particularly if you're going to take calculus at some point, that ability will be essential. If you aren't going on, then the benefits will be a bit more abstract. Basically, you're being taught how to reason - how to use the wetware God has supplied you with. You may never use this particular talent again once you leave mathematics, but the ability to recognize and codify patterns is a reasoning skill with broad applications to just about any field.
2006-08-31 22:13:05 · answer #3 · answered by Anonymous · 0⤊ 0⤋
The Nth term is the number with N number of 9's. Notice the first term had one 9, the second had two, and so on. So if the Nth term was the 10th term the number would be 9,999,999,999. Understand?
2006-08-31 22:07:25 · answer #4 · answered by baby_girl_1219 4 · 0⤊ 0⤋
if by nth you mean 9th. it starts out 1 as 9, 2 as 99, 3 as 999, 4 as 9999, so then 5 would be 99999 and so on until you reach 9 which is 999999999.
2006-08-31 22:06:42 · answer #5 · answered by psxfff123 3 · 0⤊ 1⤋
9 = 10 - 1 = 10^1 - 1
99 = 100 - 1 = 10^2 - 1
999 = 1000 - 1 = 10^3 - 1
9999 = 10000 - 1 = 10^4 - 1
simple
2006-08-31 22:09:11 · answer #6 · answered by *B@d BiiaTcH* 2 · 0⤊ 0⤋
Please consider:
9 is the first term in the series
99 is the second term
999 is the third
9999 is the fourth
by induction, the nth term of the series is
99999.......9 (n terms).
Good luck.
2006-08-31 22:07:35 · answer #7 · answered by alrivera_1 4 · 0⤊ 1⤋
10^n - 1
2006-09-01 11:15:12 · answer #8 · answered by baskaran r 2 · 0⤊ 0⤋
1st term has 1 9, 2nd term has 2 9s, nth term has n 9s.
2006-08-31 22:15:47 · answer #9 · answered by Anonymous · 0⤊ 0⤋
Plz be more clear.....becos it is looking very simple.....9,99,999....so if 1st term is 9, 2nd term is 9...nth term will also be 9...and that it wont be else u would not have been asking this question....
2006-08-31 22:09:13 · answer #10 · answered by Soni 1 · 0⤊ 1⤋