1/2,3/5,8/13,21/34,...........… - 2584
1. 5 and 6 in that order.
2. How much interest is in this order?
3. If these effects continue, as the number immediately following the 2584 / 4181?
Monday, January 4, 2010
2584 1/2,3/5,8/13,21/34,...........…
4 comments:
1 / 2, 3 / 5, 8 / 13, 21/34 ,.... 55 / 89, 144 / 233
(2) I think the numbers can not last forever - a head indefinitely.
(3) 6765 / 10,946
As is the way to solve it:
Take the first group and add the two numbers (1 +2) and 3 is replaced. This is the highest number in the next section. Now add the number 3 from the bottom of the previous section (3 + 2) and get 5, which is the lower number in the next section.
Now repeat the process.
1. 5. Term: 55/34
6. Term: 89/123
2. Infinite
3. Immediate = 6765/9349
Q1: 55 .... Q2: infinite ... Q3: 6765 .. The Fibonacci sequence!
1 / 2, 3 / 5, 8 / 13, 21/34 A / B
1 +2 = 3
2 +3 = 5
3 +5 = 8
5 +8 = 13
8 +13 = 21
13 +21 = 34
21 +34 = 55
34 55 = 89 = 5 term 55/89
55 +89 = 144
89 144 = 233 6. for Term = 144/233
2. This sequence has no boundaries, valid indefinitely
3. 2584/4181, the number to 2584 4181 = 6765
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