CPM Homework Help : AC Problem 2-112

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Home > AC > Chapter 14 > Lesson 14.2.1.8 > Problem 2-112

2-112.

Find a rule for each sequence.

a.t(n)=number of tiles

1

2

3

Answer (a):

t(n) = 3n

$n$
$t\left(n\right)$
$1$
$7$
$2$
$4$
$3$
$1$

Answer (b)

$t\left(n\right)=-3n+10$

$n$
$t\left(n\right)$
$5$
$−20$
$6$
$−10$
$7$
$−5$
Answer (c):
$\textit{t}(\textit{n})=-20\left(\frac{1}{2}\right)^{\textit{n}-5}\text{ or }\textit{t}(\textit{n})=-640\left(\frac{1}{2}\right)^\textit{n}$

Year
Cost
$2$
$$2000$
$3$
$$6000$
$4$
$$18000$
Hint (d):
See part (c).

Answer (e):
$\textit{t}(\textit{n})=12(3)^{\textit{n}-4}\text{ or }\textit{t}(\textit{n})=\frac{4}{27}(3)^\textit{n}$

Hint (f):
See part (e).

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