# Hackety Hacking Problem Family Tree FibonacciSeries

### From OLPC

## Contents |

## 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