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?
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.