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Pearson Algebra 2 Common Core, 2011

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Pearson Algebra 2 Common Core, 2011 View details

1. Mathematical Patterns

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Exercise 1 Page 568

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