Chapter 11 - Sequences; Induction; the Binomial Theorem - Section 11.1 Sequences - 11.1 Assess Your Understanding - Page 828: 87

$1,1,2,3,5,8,13...$ which is the Fibonacci sequence.

The sums are $$1 \\ 1\\1+1= 2\\2+1=3 \\ 1+3+1=5 \\ 3+4+1=8 \\ 1+5+6+1=13.$$ Thus, we see that each subsequent number gives the sum of the previous two. So, the sequence is $1,1,2,3,5,8,13...$, which is the Fibonacci sequence.