body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Pearson Algebra 2 Common Core, 2011

PA

Pearson Algebra 2 Common Core, 2011 View details

1. Mathematical Patterns

Continue to next subchapter

Exercise 1 Page 568

Substitute values for $n = 1, 2, 3, 4, 5$ to find the first $5$ terms.

$2,$ $7,$ $12,$ $17,$ and $22$

Practice makes perfect

We are given an explicit rule of a sequence and are asked to find the first

5

f (n) = 5 n - 3

To do so, we will construct a table.

$n$	$f (n) = 5 n - 3$	$f (n)$
$1$	$f (1) = 5 \cdot 1 - 3$	$2$
$2$	$f (2) = 5 \cdot 2 - 3$	$7$
$3$	$f (3) = 5 \cdot 3 - 3$	$12$
$4$	$f (4) = 5 \cdot 4 - 3$	$17$
$5$	$f (5) = 5 \cdot 5 - 3$	$22$

The first $5$ terms of this explicit sequence are $2,$ $7,$ $12,$ $17,$ and $22 .$

Subchapter links

Lesson Check p.568

Practice and Problem-Solving Exercises p.569-571

Standardized Test Prep p.571

Mixed Review p.571