Select the 5th,10th,15th,...terms from the Fibonacci sequence.What is their common factor?
English solution please^^!
form1 Fibonacci sequence maths question
2006-12-18 12:48 am
回答 (2)
2006-12-18 1:16 am
✔ 最佳答案
The 5th term =5The 10th term = 55
The 15th term = 610
Their common factor is 5
2006-12-18 1:18 am
Let f(n) be the n-th term of the Fibonacci sequence.
From the definition,
f(1) = 1
f(2) = 1
f(n) = f(n-2) + f(n-1) for all n > 2
So the first 15 Fibonacci sequence numbers are
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610
So
f(5) = 5
f(10) = 55
f(15) = 610
Their common factor is 5.
From the definition,
f(1) = 1
f(2) = 1
f(n) = f(n-2) + f(n-1) for all n > 2
So the first 15 Fibonacci sequence numbers are
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610
So
f(5) = 5
f(10) = 55
f(15) = 610
Their common factor is 5.
收錄日期: 2021-04-12 21:02:09
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