Let's solve this Grade 3 Olympic Math problem together. We need to find the pattern in this sequence: 2, 3, 5, 8, 13, and then find the next two numbers. Let's look carefully at how these numbers are related to each other.
Now let's discover the pattern! Look at the first two numbers: 2 plus 3 equals 5, which is our third number. Then 3 plus 5 equals 8, our fourth number. And 5 plus 8 equals 13, our fifth number. Do you see the pattern? Each number is the sum of the two numbers that come before it. This is called the Fibonacci sequence!
Perfect! Now we can find the missing numbers. For the sixth number, we add 8 plus 13, which equals 21. For the seventh number, we add 13 plus 21, which equals 34. So our complete sequence is: 2, 3, 5, 8, 13, 21, 34. The two missing numbers are 21 and 34!
This amazing pattern we discovered is called the Fibonacci sequence, named after the Italian mathematician Leonardo Fibonacci. What makes it so special is that it appears everywhere in nature! You can find it in flower petals, pinecone spirals, seashell patterns, and even in how tree branches grow. The Fibonacci sequence creates beautiful spirals and is one of the most famous and important sequences in all of mathematics!
欢迎来到奥数时间！今天我们要解决一道适合三年级学生的奥林匹克数学题。这道题目考查的是数列规律的发现能力。我们需要仔细观察数字之间的关系，找出隐藏的规律。
这是我们要解决的题目。我们有一个数列：2, 3, 5, 8, 13，然后是两个空白的括号。我们需要找出这两个括号中应该填入什么数字。让我们仔细观察这些已知数字之间的关系。
现在让我们分析这个数列的规律。我们来看看相邻数字之间的关系：2加3等于5，3加5等于8，5加8等于13。你发现规律了吗？每一个数字都等于它前面两个数字的和！这就是著名的斐波那契数列。
现在我们知道了规律，就可以计算出缺失的数字了。第一个空白处：8加13等于21。第二个空白处：13加21等于34。所以缺失的两个数字分别是21和34。
太棒了！让我们回顾一下解题过程。我们有数列2, 3, 5, 8, 13，需要找出两个缺失的数字。我们发现每个数都是前两个数的和，这就是斐波那契数列。所以8加13等于21，13加21等于34。因此答案是21和34。恭喜你成功解决了这道奥数题！