Hackety Hacking Problem Family Tree FibonacciSeries: Difference between revisions
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for n>2 |
for n>2 |
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F(n)=F(n-1) + F(n-2) |
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The fibonacci series can be used to understand the growth of a Family tree |
The fibonacci series can be used to understand the growth of a Family tree |
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[[Category: Hackety Lesson Plan]] |
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Latest revision as of 04:59, 6 April 2008
Problem Statement
Write a program to print the fibonacci series till 'n' no terms.
Fibonacci Series :- It is the series which starts with 0 & 1 and after that every no is the sum of previous two numbers in the series.In mathematical form we can say
for n<=2
F1=0 F2=1
for n>2
F(n)=F(n-1) + F(n-2)
The fibonacci series can be used to understand the growth of a Family tree
Sample Output
Enter the no of terms to be printed : 10 The Fibonacci Series is : 0 ,1 ,1 ,2 ,3 ,5 ,8 ,13 ,21 ,34
Curriculum Connection
To solve this problem students will
- Take input from user
- Will first check the nature of problem
- Simulates the mathematical function using loops
- Simulation will require nesting of loops
- Print the output
Solution in RUBY
# Take input from user
puts("Enter the Limit of Fibonacci Series " );
k=gets.to_i;
# Initialize the values when the family tree starts , Beginning of Fibonacci Series
a=0;
b=1;
print a ," ", b
# Use the relation f(n) = f(n-1) + f(n-2) to interpolate the Family tree
k.times do
sum=a+b;
print(" " , sum );
a=b;
b=sum;
end