Chapter 11 - Sequences; Induction; the Binomial Theorem - Section 11.1 Sequences - 11.1 Assess Your Understanding - Page 827: 16

The first five terms are: $s_1=2 \\ s_2=5 \\ s_3=10 \\s_4=17 \\s_5 =26$

We are given that {$s_n$} $=n^2+1$ In order to determine the first five terms, we will have to substitute $n=1,2,3,4,5$ into the given sequence {$s_n$}: $s_1= 1^2+1=2 \\ s_2=2^2+1=5 \\ s_3=3^2+1=10 \\s_4=4^2+1=17 \\s_5 =5^2+1=26$