Hello, I can't find a pattern to answer this question, can you help?
The beginning of the fibonacci number sequence is listed below:
1,1,2,3,5,8,13,......
What is the smallest term in the sequence which has a value greater than 100?
Ahhh, my favourite sequence of numbers, the Fibonacci sequence.
A new number is the sum of the two previous numbers, so keep going until you get around the 100
ahh, so simple in hind sight
Certainly! To find the smallest term in the Fibonacci sequence that has a value greater than 100, we can use a simple approach.
First, let's start by understanding the Fibonacci sequence. The sequence starts with 1 and 1, and each subsequent term is the sum of the two previous terms. This means that to find the next term, we add the previous two terms.
Using this pattern, we can generate the Fibonacci sequence until we find a term greater than 100.
Here's how we can do it step by step:
1. Start with the first two terms of the sequence: 1 and 1.
2. Add the two previous terms to find the third term: 1 + 1 = 2.
3. Repeat this process by adding the last two terms to find the next term.
- 2 + 1 = 3
- 3 + 2 = 5
- 5 + 3 = 8
- 8 + 5 = 13
- ...
Continue this process until you find the first term greater than 100. In this case, the term is 144, which is the smallest term in the sequence greater than 100.
Therefore, the answer to your question is that the smallest term in the Fibonacci sequence greater than 100 is 144.