Chapter 12.1, Problem 16AYU

To determine

To find: The first five terms of each sequence.

Answer to Problem 16AYU

$\{s_1\}=2,\{s_2\}=5,\{s_3\}=10,\{s_4\}=17,\{s_5\}=26$

Explanation of Solution

Given:

$\{s_n\}=\left\{n^2+1\right\}$

Calculation:

Let $n=1,2,3,4,5$.

$\{s_n\}=\left\{n^2+1\right\}$

$\{s_1\}=\left\{1^2+1\right\}=2$

$\{s_2\}=\left\{2^2+1\right\}=5$

$\{s_3\}=\left\{3^2+1\right\}=10$

$\{s_4\}=\left\{4^2+1\right\}=17$

$\{s_5\}=\left\{5^2+1\right\}=26$