# Find the Nth element of the modified Fibonacci series

Given two integers **A** and **B** which are the first two terms of the series and another integer **N**. The task is to find the **N ^{th}** number using Fibonacci rule i.e.

**fib(i) = fib(i – 1) + fib(i – 2)**

**Example:**

Input:A = 2, B = 3, N = 4

Output:8

The series will be 2, 3, 5, 8, 13, 21, …

And the 4th element is 8.

Input:A = 5, B = 7, N = 10

Output:343

**Approach:** Intilalize variable **sum = 0** that stores sum of the previous two values. Now, run a loop from **i = 2 to N** and for each index update value of **sum = A + B** and **A = B, B = sum**. Then, finally return the sum which is the required **Nth element**.

Below is the implementation of the above approach:

## C++

`// C++ implementation of the approach ` `#include <iostream> ` `using` `namespace` `std; ` ` ` `// Function to return the Nth number of ` `// the modified Fibonacci series where ` `// A and B are the first two terms ` `int` `findNthNumber(` `int` `A, ` `int` `B, ` `int` `N) ` `{ ` ` ` ` ` `// To store the current element which ` ` ` `// is the sum of previous two ` ` ` `// elements of the series ` ` ` `int` `sum = 0; ` ` ` ` ` `// This loop will terminate when ` ` ` `// the Nth element is found ` ` ` `for` `(` `int` `i = 2; i < N; i++) { ` ` ` `sum = A + B; ` ` ` ` ` `A = B; ` ` ` ` ` `B = sum; ` ` ` `} ` ` ` ` ` `// Return the Nth element ` ` ` `return` `sum; ` `} ` ` ` `// Driver code ` `int` `main() ` `{ ` ` ` `int` `A = 5, B = 7, N = 10; ` ` ` ` ` `cout << findNthNumber(A, B, N); ` ` ` ` ` `return` `0; ` `} ` |

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## Java

`// Java implementation of the approach ` `import` `java.util.*; ` ` ` `class` `GFG ` `{ ` ` ` ` ` `// Function to return the Nth number of ` ` ` `// the modified Fibonacci series where ` ` ` `// A and B are the first two terms ` ` ` `static` `int` `findNthNumber(` `int` `A, ` `int` `B, ` `int` `N) ` ` ` `{ ` ` ` ` ` `// To store the current element which ` ` ` `// is the sum of previous two ` ` ` `// elements of the series ` ` ` `int` `sum = ` `0` `; ` ` ` ` ` `// This loop will terminate when ` ` ` `// the Nth element is found ` ` ` `for` `(` `int` `i = ` `2` `; i < N; i++) ` ` ` `{ ` ` ` `sum = A + B; ` ` ` ` ` `A = B; ` ` ` ` ` `B = sum; ` ` ` `} ` ` ` ` ` `// Return the Nth element ` ` ` `return` `sum; ` ` ` `} ` ` ` ` ` `// Driver code ` ` ` `public` `static` `void` `main(String[] args) ` ` ` `{ ` ` ` `int` `A = ` `5` `, B = ` `7` `, N = ` `10` `; ` ` ` ` ` `System.out.println(findNthNumber(A, B, N)); ` ` ` `} ` `} ` ` ` `// This code is contributed by PrinciRaj1992 ` |

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## Python3

`# Python3 implementation of the approach ` ` ` `# Function to return the Nth number of ` `# the modified Fibonacci series where ` `# A and B are the first two terms ` `def` `findNthNumber(A, B, N): ` ` ` ` ` `# To store the current element which ` ` ` `# is the sum of previous two ` ` ` `# elements of the series ` ` ` `sum` `=` `0` ` ` ` ` `# This loop will terminate when ` ` ` `# the Nth element is found ` ` ` `for` `i ` `in` `range` `(` `2` `, N): ` ` ` `sum` `=` `A ` `+` `B ` ` ` ` ` `A ` `=` `B ` ` ` ` ` `B ` `=` `sum` ` ` ` ` `# Return the Nth element ` ` ` `return` `sum` ` ` `# Driver code ` `if` `__name__ ` `=` `=` `'__main__'` `: ` ` ` `A ` `=` `5` ` ` `B ` `=` `7` ` ` `N ` `=` `10` ` ` ` ` `print` `(findNthNumber(A, B, N)) ` ` ` `# This code is contributed by Ashutosh450 ` |

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## C#

`// C# implementation of the approach ` `using` `System; ` ` ` `class` `GFG ` `{ ` ` ` ` ` `// Function to return the Nth number of ` ` ` `// the modified Fibonacci series where ` ` ` `// A and B are the first two terms ` ` ` `static` `int` `findNthNumber(` `int` `A, ` `int` `B, ` `int` `N) ` ` ` `{ ` ` ` ` ` `// To store the current element which ` ` ` `// is the sum of previous two ` ` ` `// elements of the series ` ` ` `int` `sum = 0; ` ` ` ` ` `// This loop will terminate when ` ` ` `// the Nth element is found ` ` ` `for` `(` `int` `i = 2; i < N; i++) ` ` ` `{ ` ` ` `sum = A + B; ` ` ` ` ` `A = B; ` ` ` ` ` `B = sum; ` ` ` `} ` ` ` ` ` `// Return the Nth element ` ` ` `return` `sum; ` ` ` `} ` ` ` ` ` `// Driver code ` ` ` `public` `static` `void` `Main() ` ` ` `{ ` ` ` `int` `A = 5, B = 7, N = 10; ` ` ` ` ` `Console.WriteLine(findNthNumber(A, B, N)); ` ` ` `} ` `} ` ` ` `// This code is contributed by AnkitRai01 ` |

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**Output:**

343

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