Question 229684: Please Help!!! I can figure out a) but not b). Can you please explain this to me? Thanks soooo much!
Use 3 and 4 as the first two terms of a Fibonacci-type sequence.
a)Find the next five terms
3,4 (are given)7,11,18,29,47 is what I came up with for the remaining 5 terms.
b) Write a symbolic description for this Fibonacci-type sequence using variables t n-1 and t n+2 as terms of the sequence.
Answer by Earlsdon(6294)   (Show Source):
You can put this solution on YOUR website! As you have correctly stated, starting with 3 and 4 as the first two terms of a Fibonacci sequence.
You no doubt have also noted that each term in the sequence is derived from the sum of the two previous terms and this can be expressed symbolically as:
 +
-----------------------------------------------Oops!
The given sequence is not a true Fibonacci sequence, so it really is not described as I have shown! Sorry about that!
The given sequence is:
3, 4, 7, 11, 18, 29, 47, 76, ... as you have stated.
This sequence can be described symbolically by:
Let's check:
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