I divided some stuff and it gave me these answers:
0, 0, 1, 2, 1, 1.5, 1, 1.33, 1, 1.25, 1
My question is, What numerical value do this successive ratios (in decimal form) seem to be approching?
Thank you.
2007-04-16 15:25:48 · 7 answers · asked by jomar 2 in Science & Mathematics ➔ Mathematics
1!!!!!!
2007-04-16 15:28:04 · answer #1 · answered by Brandon R 1 · 1⤊ 0⤋
1
2007-04-16 22:29:42 · answer #2 · answered by Weatherman 7 · 1⤊ 0⤋
Well, dropping the first two terms, your pattern is 1, 2/1, 1, 3/2 , 1, 4/3, etc.
Dropping every other term this becomes
2/1 3/2 4/3 5/4 6/5 etc, which approaches 1. So eventually all the terms look like they are heading for 1.
2007-04-16 22:29:20 · answer #3 · answered by jiyuztex 2 · 1⤊ 0⤋
Well, the odd-numbered terms are sitting on 1 (after the first); the even-numbered terms, apart from the first, look like
1+1, 1+1/2, 1+1/3, 1+1/4
so I would generalise and say that they will continue like 1 + 1/n and approach 1 also. So the sequence converges to 1.
2007-04-16 22:30:01 · answer #4 · answered by Scarlet Manuka 7 · 1⤊ 0⤋
The terms with the decimals seem to be going as: 1+1/n. So the next term with a decimal would be 1.2, then 1.166666... and so on.
2007-04-16 22:30:50 · answer #5 · answered by bruinfan 7 · 1⤊ 0⤋
Each time it goes back to 1, the denominator increase by 1.
0,1/1,1/2,1/3,1/4,1/5...
2007-04-16 22:32:59 · answer #6 · answered by Anonymous · 0⤊ 0⤋
57464156
2007-04-16 22:27:30 · answer #7 · answered by YoungChief 3 · 0⤊ 1⤋