Zero, three, six, nine. Write the next two numbers in the sequence.
Let’s listen to the question again. Zero, three, six, nine. Write the next two numbers in the sequence. We’ve just heard a sequence of numbers. Do you remember what it was? The sequence started with zero. What were the other numbers? We heard zero, three, six, nine. And then we were asked to write the next two numbers in the sequence.
For us to be able to write the next two numbers in the sequence, we need to understand what the rule is. What do we do to each number to make the next number? Let’s start with zero. How do we get from zero to three? We add three. Zero plus three equals three. So how do we get from three to six? We add three again. Three plus three equals six. So it looks like we found our rule. We need to skip-count in threes to find each number. To get from six to nine, we add three again. Six plus three equals nine.
So how are we going to find the next number in the sequence? What comes after nine? We know that our rule is to add three. So we need to add three to nine to find the next number. Nine add three equals 12: nine, 10, 11, 12. So the next number in the sequence after nine is 12.
We were asked to find the next two numbers. So we need to find one more number. And to find it, we need to keep that rule going. What’s 12 add three? 12, 13, 14, 15. The final number in our sequence is 15. We start with zero and then look at how each new number is a multiple of three: three, six, nine. And the next two numbers in the sequence are the numbers 12 and 15.