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Houghton Mifflin Harcourt Algebra 1, 2015

HM

Houghton Mifflin Harcourt Algebra 1, 2015 View details

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Exercise 1 Page 154

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

$- 3,$ $0,$ $5,$ and $12$

Practice makes perfect

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

4

terms.

f (n) = n^{2} - 4

To do so, we will construct a table.

$n$	$f (n) = n^{2} - 4$	$f (n)$
$1$	$f (1) = 1^{2} - 4$	$- 3$
$2$	$f (2) = 2^{2} - 4$	$0$
$3$	$f (3) = 3^{2} - 4$	$5$
$4$	$f (4) = 4^{2} - 4$	$12$

The first $4$ terms of this explicit sequence are $- 3,$ $0,$ $5,$ and $12 .$

Subchapter links

Exercises p.154

Module Performance Task