Question 58
Each term of the Fibonacci sequence is the sum of the preceding two. Its first terms are
$$1,1,2,3,5,8,13,21,34,55,89,\ldots.$$
Prove that the sequence contains a multiple of 1000.
$$1,1,2,3,5,8,13,21,34,55,89,\ldots.$$
Prove that the sequence contains a multiple of 1000.