![]() Not all mathematical sequences are easily separated into these two branches but are still incredibly interesting and applicable. ![]() For example, consider the half-life of a radioactive element – the common ratio is 2, and in a fixed amount of time, radioactive decay disintegrates the element by half. Geometric sequences on the other hand encompass a succession of numbers that share a common ratio between them. A familiar example would encompass the sequence of house numbers along a street you happen to drive by (e.g. Arithmetic sequences are defined by a string of consecutive numbers that have a common difference between them. You probably began differentiating between these two types of sequences while completing grade 11 math. arithmetic progression) and geometrics sequences (i.e. Patterns within mathematical sequences provide the key that reveals a common thread of how each number is connected to one another.īroadly speaking, mathematical sequences can be categorized into two major groups: arithmetic sequences (i.e. Each number within a mathematical sequence is identified as a term. Simply described, a math sequence is a group of numbers that follow a specific pattern. A more relevant memory today might be one of you reciting your times table. One’s earliest recollection of a math sequence probably began at the age of two, when you started counting to ten. In trees, the Fibonacci begins in the growth of the trunk and then spirals outward as the tree gets larger and taller.Math sequences can be discovered in your everyday life. Trees Photo from Joel & Jasmin Førestbird/UnsplashĪlthough we all usually see trees everywhere in our day to day, how often do we really look at them for patterns. When analyzing these spirals, the number is almost always Fibonacci. At points, their seed heads get so packed that their number can get exceptionally high, sometimes as much as 144 and more. A perfect example of this is sunflowers with their spiraling patterns. Most of the time, seeds come from the center and migrate out. Seed Heads Photo from Asgeir Pall Juliusson/UnsplashĪ flower’s head is also where you’ll find the Fibonacci sequence in plants. Of the most visible Fibonacci sequence in plants, lilies, which have three petals, and buttercups, with their five petals, are some of the most easily recognized. The petals of a flower grow in a manner consistent with the Fibonacci. Flower Petals Photo from Alfiano Sutianto/Unsplash Each cone has its own set of spirals moving outwards in opposing directions. When looking closely at the seed pod of a pinecone, you’ll notice an arranged spiral pattern. Pinecones Photo from Cameron Oxley/Unsplash The more they grow outward, the higher the Fibonacci sequence is visible. When growing off the branch, Fibonacci can be viewed in their stems as well as their veins. The Fibonacci sequence in plants is quite abundant, and leaves are one of the best examples. Although the Fibonacci sequence (aka Golden Ratio) doesn’t appear in every facet of known structures, it does in many, and this is especially true for plants. The Fibonacci sequence’s ratios and patterns (phi=1.61803…) are evident from micro to macro scales all over our known universe. ![]() ![]() The Fibonacci sequence was initially developed by Leonardo Fibonacci while he was calculating the expansion of groups of rabbits over a year.
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