Fibonacci sequnce has this pattern:
1,1,2,3,5,8,13,21,34,55,......
each number is achieved by adding the previous number to the current number (1+1=2, 2+1=3, 3+2=5,....)
List the first eight terms of the sequence formed by finding the differences of successive terms.
You need to go through the grunt work on this. We will be happy to critique your thinking.
Ehehe... i know that.
I'm not looking for the answer itself, just the way that i might go about finding it. I would actually much rather find the actual answer myself.
i just don;t get the question.
I don't understand what it's asking for.
Google it?
I had a similar question, and I think it was forumal is gave, and i used that to asnwer the question.
well basically its asking you to find the differences (subtract) the numbers that are side by side so example 1,1,2 so you would
1-1=0
2-1=1
and so on
To find the differences of successive terms in the Fibonacci sequence, you subtract each term from its following term. Let's begin:
First, let's list the first eight terms of the original Fibonacci sequence:
1, 1, 2, 3, 5, 8, 13, 21
Now, let's find the differences of successive terms.
To find the difference between the second and first terms, you subtract the first term (1) from the second term (1). The result is 0.
To find the difference between the third and second terms, you subtract the second term (1) from the third term (2). The result is 1.
To find the difference between the fourth and third terms, you subtract the third term (2) from the fourth term (3). The result is 1.
Continue this process for the remaining terms.
Calculating the differences:
0, 1, 1, 2, 3, 5, 8
So, the first eight terms of the sequence formed by finding the differences of successive terms in the Fibonacci sequence are:
0, 1, 1, 2, 3, 5, 8