### Home > CCAA8 > Chapter 5 Unit 6 > Lesson CCA: 5.2.2 > Problem5-67

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 $t(1)$.

1.  $4,7,10,13 , . .$

• $7−4=10−7=13−10=3$

• $m=3$

• $t(n)=3n+t(0)$
$t(1)=3(1)+t(0)=4$
$3+t(0)=4$
$t(0)=1$

• $t(n)=3n+1$

1.  $3,8,13 , . .$

• $m=5$

• $t(n)=5n−2$

1.  $24,19,14 , \ldots$

• $m=−5$

• $t(n)=−5n+29$

1.  $7,9.5,12 , \dots$

• $9.5−7=12−9.5=2.5$

• $m=2.5$

• $t(0)=4.5$

• $t(n)=2.5n+4.5$