The Fibonacci sequence is a series of numbers where each subsequent number is the sum of the previous two. It begins with 0 and 1, and the next terms are generated by adding the two numbers before it. The sequence was popularized in Europe by the Italian mathematician Fibonacci in his book Liber Abaci, though it originated even earlier in India. Some applications of the Fibonacci sequence include modeling the growth of rabbit populations and appearing in patterns in nature.

1. z
Fibonacci series
“Life is a math equation
In order to gain the
most,you have to know
how to
convert the negatives
Into positives.”

2. Fibonacci Numbers:
The Fibonacci sequence is the series of numbers:
0,1,1,2,3,5,8,13,21,34......
The next number is found by adding up the two numbers before it.
• The 2 is found by adding the two numbers before it(1+1)
• The 3 is found by adding the two numbers before it(1+2)
• And the 5 is (2+3)
• And so on

3. Mathematical formula:
The formula is xn=xn-1+xn-2
The 9th term of the Fibonacci series can be
calculated as:
X9=X9-1+X9-2
=X8+X7
=21+13
=34

4. Fibonacci was an Italian mathematician. His real name was Leonardo
Pisano Bigollo and he lived between 1170 and 1250 in Italy.Fibonacci Was
his nickname which meant he was the son of “Bonacci.”
Fibonacci was not the first to know about the sequence, it was known in
India hundreds of years before! Fibonacci series appears in the Sanskrit
Prosody(a kind of poetry or chant).
The development of the Fibonacci sequence
is attributed in part to pingala,
an Indian mathematician and poet(200 BC).
However,it was Fibonacci who helped spread it
Through Europe in the book “Liber Abaci”
And hence the name.

6. Applications of the Fibonacci series:

7. Case of rabbits

8. You can get better explanation
through this table:

10. Name-ISHAN ADITYA
CLASS-10-F