Start with a positive integer, then choose a negative integer. We’ll use these two numbers to generate a sequence using the following rule: create the next term in the sequence by adding the previous two. For example, if we started with 6 and -5, we would get the sequence 6, -5, 1, -4, -3, -7, -10, -17, -27, ... which starts with 4 elements that alternate sign before the terms are all negative. If we started with 3 and -2, we would get the sequence 3, -2, 1, -1, 0, -1, -1, -2, -3, ... which also starts with 4 elements that alternate sign before the terms are all non-positive

(a) Can you find a sequence of this type that starts with 5 elements that alternate sign?