<div>where <span class="ltx_Math" contenteditable="false" data-equation="F_0=1">\(F_0=1\)</span>, and <span class="ltx_Math" contenteditable="false" data-equation="F_1=1">\(F_1=1\)</span>. <br></div><div><br></div><div>If we needed to find this recursive formula without being given this information, we can always remember some of the relationships in real-life applications. For example, the original application of the Fibonacci numbers stemmed from the tracking of the reproduction of rabbits. Rabbits can reproduce more rabbits starting after their first month of life, and take about a month before giving birth. This means every second month a Rabbit may produce a new pair of bunnies (bunnies produce in pairs, one pair at a time). More specifically, the first set would be 1 pair. This pair would mate the first month, but there would still only be one pair. The second month there will the new born pair (making two). The original pair will mate and reproduce again, while the newborns will mate after their first month. Thus, the third month there will be three, and so on. Anytime you forget these numbers, simply look up rabbit, cow or bee reproduction. &nbsp;<br></div>