Among the many sequences that mathematicians have studied su

Among the many sequences that mathematicians have studied, surely none is more fascinating than the Fibonacci sequence that begins 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, . . . , where each term after the second is the sum of the two preceding terms. After researching the Fibonacci Sequence discuss (in one or two paragraphs) some of the salient points about the sequence.

Solution

Fibonacci numbers occur many times in the natural world. Plants tend to have a number of leaves that is a Fibonacci number, and flowers have a Fibonacci number of petals. Seeds in a flower head are often arranged in spiral patterns that are related to Fibonacci numbers (for example, the number of spirals that curve to the left and the number of spirals that curve to the right will be adjacent numbers in the Fibonacci sequence). Fibonacci series and golden ratio unite mathematics with the wonders of natures.Let it be flowers or monuments or even beautiful painting they have some relation with this ratio which makes mathematics much more beautiful.

Some historical and contemporary architects, artists and designers have intentionally used or the Fibonacci sequence. The most famous example is the Parthenon in Athens.

The Fibonacci sequence appears in Indian mathematics, in connection with Sanskrit prosody. In the Sanskrit tradition of prosody, there was interest in enumerating all patterns of long (L) syllables that are 2 units of duration, and short (S) syllables that are 1 unit of duration; counting the different patterns of L and S of a given duration results in the Fibonacci numbers: the number of patterns that are m short syllables long isahe Fibonacci number Fm + 1.