Question

1,1,2,3,5,8,_,_,_,_,_
Conjecture:

Answer 1

This looks like the Fibonacci sequence

If that is the case, then we add the previous two elements to get the next term in the sequence.

• term3 = term1+term2 = 1+1 = 2
• term4 = term2+term3 = 1+2 = 3
• term5 = term3+term4 = 2+3 = 5
• term6 = term4+term5 = 3+5 = 8
• term7 = term5+term6 = 5+8 = 13
• term8 = term6+term7 = 8+13 = 21
• term9 = term7+term8 = 13+21 = 34
• term10 = term8+term9 = 21+34 = 55
• term11 = term9+term10 = 34+55 = 89

And so on.

The extended sequence would be: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ... assuming that your teacher gave you the Fibonacci sequence.