Question

Find the following. complete parts a-h. a. The first seven terms of the Fibonacci-like sequence with the seeds 0,3. *(parts b-h will appear as we answer this previous parts.) 7 parts in total for the question*

Answer 1

Recall that in a Fibonacci-like sequence, the sum of two consecutive terms yields the third term.

Mathematically,

`t_n=t_(n-2)+t_(n-1)`

Since we are given the first two terms, we can find the third term and so on...

F₁ = 0

F₂ = 3

`\begin{gathered} F_3=F_2+F_1=3+0=3 \\ F_4=F_3+F_2=3+3=6 \\ F_5=F_4+F_3=6+3=9 \\ F_6=F_5+F_4=9+6=15 \\ F_7=F_6+F_5=15+9=24 \end{gathered}`