CPM Homework Help : CCA Problem 5-67

Find the sequence generator for each sequence listed below. Write an equation for the $n^{\text{th}}$ term in each sequence below, keeping in mind that the first term of each sequence is $t(1)$ .

$4,7,10,13 , . .$

Step 1(a):
$7−4=10−7=13−10=3$
$m=3$
Step 2(a):
$t(n)=3n+t(0)$
$t(1)=3(1)+t(0)=4$
$3+t(0)=4$
$t(0)=1$
Answer (a):
$t(n)=3n+1$

$3,8,13 , . .$

Answer (b):
$m=5$
$t(n)=5n−2$

$24,19,14 , \ldots$

Answer (c):
$m=−5$
$t(n)=−5n+29$

$7,9.5,12 , \dots$

Hint (d):
$9.5−7=12−9.5=2.5$
$m=2.5$
More Help (d):
$t(0)=4.5$
Answer (d):
$t(n)=2.5n+4.5$