# The Fibonacci Sequence: Math For the Non-Math Brain

## Math is Difficult for Many

I'm treading on dangerous ground, here, being a bona fide non-math person. How dare I have the audacity to try and explain anything remotely math-related?

Well, that is exactly why I'm "going there." Because my own talents are so exclusively word-and-language driven, I have always struggled with math concepts. It is a very difficult subject for me, and I do not understand much of what is presented.

However, I feel that qualifies me to take something I finally did manage to understand, and put it into terms that are easier (for me, at least) to understand. Mind you, I'm not going to attempt any explorations or explanations of advanced mathematics; my only aim is to re-phrase the basic concept of the Fibonacci Sequence for the language and word oriented people like me.

## See? Movies can be Educational!

I'd never even heard the term "Fibonacci Sequence" until I watched the movie, *The Da Vinci Code.* Early on in the action, while Professor Robert Langdon (Tom Hanks) has been called in to assist in trying to figure out the murder of a man found dead in The Louvre, a series of numbers is discovered. After some pondering, the Professor exclaims, "It's a Fibonacci Sequence!"

"A whaaaatt???" My brain asked. I shrugged it off at the time, and continued watching the movie, but in the years since, the term has come up a few more times, so I decided to investigate.

## That Confounded Fibonacci Sequence

My husband is the math person in the family; he even wrote a math text years back. Yet even he had a tough time getting this one through my thick head. We went around and around, and when I finally understood, my reaction was, "Well, of course..no wonder it's confusing..the words explaining the concept are wrong!"

Supposedly (although you could not prove it by me), this sequence of numbering lies at the heart of all math. I don't understand how, and I'm not going to try and explain it further than that. I'm merely going to tell you how to understand getting to each "next number" in the series.

First of all, the series, or sequence, is infinite. It can go on and on as long as you have paper to write; computer memory to compute; or sand and sticks to draw with. Once I 'got it,' I was able to see that it is simple enough for the average 2nd or 3rd grader to grasp. I guess I'm not smarter than a 3rd grader where math is concerned.

Later, I'll explain how it was that I got so tangled up in this basically simple concept.

## Decoding the Sequence

Begin, working from left to right, begin with the numeral zero. Add a plus sign, and the numeral 1. This is your starting point: 0 + 1. Follow this with the answer, or sum: 0 + 1 = 1.

That's the very start of this sequence. The next number, still missing, is found by removing or ignoring the left-most numeral, in this case, the zero, and adding together the remaining two numbers:

1 + 1 = 2; drop off the left-most "1" and add: 1 + 2 = 3; drop off the "1" and add: 2 + 3 = 5.

Do it again: 3 + 5 = 8. Got it? Yep. Simple.

Continue: 5 + 8 = 13; 8 + 13 = 21; 13 + 21 = 34; 21 + 34 = 55; 34 + 55 = 89; 89 + 55 = 144; 144 + 55 = 199. and so on.

Proceed in this manner until your arm falls off.

## My Tangle

Here's where I went wrong, or misunderstood the original explanation.

What was told to me was, "Add '0' to '1.' To find the next number in the sequence, add together the previous two."

HUH? What my language-oriented brain interpreted from that was, **since I was not yet at the 'next number in the sequence,'** and it had been explained that, 'no, you're not jumping ahead,' I could not figure out how you ever got out of the starting gate.

(Did I mention that I also take such explanations very literally?) Because if I was at the numeral '1'; resulting from adding the '0' and '1,' then the "**previous two "** still appeared to me to be that original '0' and '1.'

It was only after an hour of going back and forth that it was finally explained that "yes, you are at the next number's position, *which is still an unknown*, until you add the previous two **in relation to the current position. **Okay, but I was still confused.

Finally, it was explained that to begin the sequence, and get to the next number, you have to begin by adding the 1 to itself in order to find the next number, which will be 2. then, drop the original 1 and add the 2 plus 1 to get 3, and so forth.

"Ooooohhhh...so, you *don't start with the "previous two"* at the very beginning! Why didn't you say so in the first place??!!"

You **re-use** the original sum **one time** to get the sequence going. NOW I get it! To continue, you use the *sum* of the previous two...and add it to the *current sum,* and so forth. etc.

I have a word brain; hubby has a math brain. We are always working at cross purposes in these kinds of situations.

That is why I decided to write this explanation once I finally understood how it is done. Writing it out serves both to cement it in my own mind, as well as provide confusion relief for anyone else struggling as I did--and still do--math is my nemesis.

## Watch the Video Below

Sunflowers are not irrelevant to this article. The video has a well-explained and nicely illustrated explanation of the Fibonacci Sequence, and how it appears all over the place in nature.

## The Fibonacci Sequence in Nature

**© 2012 Liz Elias**

## Comments

When I first learned how to program a computer, a very long time ago, we learned how to write simple programs in the BASIC language to generate sequences like this. Though BASIC is more or less now a "dead" language, I always admired how it made instructions precise. It is like an abbreviated version of the English language with the ambiguity removed. Instead of terms like "the next number" or "the previous number" you refer to variables with labels like "A" or "N". The computer will always know exactly what A and N are if your program is correctly written. An ARRRY also be used. An array holds a set of numbers instead of just a single number. "F[n]" means then "n'th" number in array F. The code might look something like this:

10 REM Fibonacci Sequence

20 REM The array F holds the Fibonacci numbers

30 ARRAY F

40 LET F[0] = 0

50 LET F[1] = 1

60 LET N = 1

70 REM Compute the next Fibbonacci number

80 LET F[N+1] = F[N] + F[N-1]

90 LET N = N + 1

100 PRINT F[N];", ";

110 REM Loop and keep generating numbers forever!

120 GOTO 80

130 END

You don't have to be a maths person to use this set of numbers. The Fibonacci numbers are used by forex traders such as myself to predict where the prices are going. The key numbers are 61.8% which is 21/34 and 38.2% which is 13/34. The percentage is the reversal of a price from its previous direction in percentage terms.

Very well explained. I'm much better in writing and art then I am at math, though my mom says I tested quite high in math as a child and was deemed to have mathematical brain. That said, I've never done well in math classes, but always do well with real numbers, like statistics and budgets and the like. I can't explain it, but I did enjoy your explanation.

I love your "X+N=WTF?" That was funny! The Fibonacci Sequence sometimes appears in nature (the seed head of a sunflower for example). I think understanding a little about the mathematics gives us a better appreciation of the complexity of the natural world. For some very in-depth reading, have a look at the book "A New Kind of Science" by Stephen Wolfram.

Thanks for explaining a rather difficult concept to the average investor. I'm currently following a "mentor" of sorts that constantly refers to the price level in relation to the Fibonacci level to see areas of possible support and resistance. It's very helpful in explaining just why a stock encounters buying or selling pressure on any given day

Hehee, fabulous Hub! And I love the sketch you added :D

Well you did a good job on this Dzy. Well done. I have written several hubs on how to use these numbers for trading currencies and stocks. Why not take a look and get a wider insight. Voted up!!

Dzy, thanks for explaining and making it so easy to understand. I know the number sequence is used to predict how people are supposed to buy and sell stocks, but I don't know how it works.

Thanks for SHARING.

Fibonacci is a good thing to know especially if you ever get into trading foreign currency or investing as it's often used to predict movement.

I can't imagine ever using this not being a math person but I must say you've made it perfectly clear. You did a great job of explaining something I probably will never need but you made it interesting to read. Voted up, useful, interesting and Shared!

You know, I'm not quite sure I understood it before now either. Thanks for that. Now to figure out how to use it. I hear it is very useful and important in all things.

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