Inquiries-Week 10: Self-Descriptive

IntroductionIn this inquiry, we build a sequence from a single 2. The first rule of this sequence is that it has to describe itself.Starting with TwoHere is a 2. 2It says, "There are two here." The first number is a 2, so the next number has to be a 2 as well, so that there are "two here." We now have two 2's!2 2When it's not a two, it's a oneHere comes the second rule of our sequence. When it's not a two, it must be a one. What comes next? To start, our sequence says there are two of one thing and then two of another thing. 2 2We know the first two are 2's, so the next two must be 1's:2 2 1 1We couldn't use twos, because then there would have been four twos, and the sequence wouldn't describe itself.Continue to Build the SequenceSo far we have:22 22 2 1 1What are the next two numbers in the sequence after the 1 1? We know there is two 2's, then 1's, then one of something, then one something. Reveal 2 2 1 1 2 1 And what about the next three numbers? Reveal 2 2 1 1 2 1 2 2 1 Activity -…