CPM Homework Help : CCA Problem 5-65

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5-65.

Determine whether $447$ is a term of each sequence below. If so, which term is it?

$t(n)=5n-3$

Step (a):
$447=5n-3$
Answer (a):
$90=n$
Yes, $447$ is the $90^{\text{th}}$ term.

$t(n)=24-5n$

Answer (b):
No, $447$ is not a term of $t(n)$ .

$t(n)=-6+3(n-1)$

Step (c):
$447=-6+3n-3$

$t(n)=14-3n$

Answer (d):
No, $447$ is not a term of $t(n)$ .

$t(n)=-8-7(n-1)$

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