The Fibonacci sequence is defined by the recurrence relation:

, where and .

Hence the first 12 terms will be:

The 12th term, , is the first term to contain three digits.

What is the first term in the Fibonacci sequence to contain 1000 digits?

# Tag Archives: Fibonacci

# Project Euler: Problem 2

Alright, next Project Euler problem:

Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 terms will be:

1, 2, 3, 5, 8, 13, 21, 34, 55, 89, …

Find the sum of all the even-valued terms in the sequence which do not exceed four million.