The question is this: Using your calculator, look at the successive ratios of one term to the next. Make a conjecture
2007-09-08 08:23:34 · 3 answers · asked by Kiid23 3 in Education & Reference ➔ Homework Help
If I understand you correctly, I'm supposed to look at: 1/2, 2/3, 3/4, 4/5, 5/6, 6/7, etc.
They are decimals and they go: .5, .67, .75, .80 etc.
They are growing, but more and more slowly. They appear to be approaching 1. But we know they will never get to one, right....
2007-09-08 08:28:10 · answer #1 · answered by hottotrot1_usa 7 · 0⤊ 0⤋
Well, "conjecture" means "prediction". Was there any other information given in the question? What ratio is it talking about? Maybe you need to figure out how the successive terms are related, like term (n+2) is double (n+1), which is double term n.
2007-09-08 15:27:01 · answer #2 · answered by SNLfan52 3 · 0⤊ 0⤋
1/2 = 0,5
2/3 = 0,66667
3/4 = 0,75
...
100/101 = 0.990099
...
1000/1001 = 0.999000999
...
1000000/1000001 = 0,999999
...
n/(n+1) tends to equal 1 but will never reach 1
2007-09-08 15:30:22 · answer #3 · answered by Anonymous · 0⤊ 0⤋