$(8$ points$)$ Visualizing the Fibonacci sequence using Stacking of Building Blocks. Use ChatGPT to

solve the problem. Turn in your chat, which might consist of multiple prompts.

A Fibonacci spiral approximates the golden spiral using quarter$-$circle arcs inscribed in squares

derived from the Fibonacci sequence $($from Wikipedia$).$ We only focus on the squares and don't

show the arcs. Check Fig. $3$ in Appendix B$.$ Run this formula in a cell of your worksheet that has

enough free cells down and to the right.

$=$

VSTACK $($

HSTACK $($SEQUENCE $(3,3,3,0),$

VSTACK $($SEQUENCE $(2,2,2,0),$

HSTACK $($ SEQUENCE$(1,1,1,0),$

SEQUENCE$(1,1,1,0)$

You will recognize a part of the Fibonacci spiral for the partial Fibonacci sequence $1,1,2,3,5.$ Extend

the Fibonacci spiral by adding the next Fibonacci number $8.$ Modify the formula accordingly and

turn in your modified formula.

Notice that the spiral is constructed in a counter$-$clockwise order. We follow the pattern $($right$,$ top,

left, bottom$)*.$

As in Kindergarten, we have two stacking operations for our building blocks which are squares:

With VSTACK we can vertically stack them, and with HSTACK we can horizontally stack them.

The repeated use of the SEQUENCE function creates the building blocks, the squares.