### Home > GB8I > Chapter 5 Unit 6 > Lesson INT1: 5.2.3 > Problem5-78

5-78.

Write both an explicit equation and a recursive equation for the sequence: $5,8,11,14,17,\dots$

Are the terms in the sequence being added to or multiplied by? In other words, is the sequence arithmetic or geometric?

3 is being added to each item. What is $t(0)$? Write the explicit equation.
$t(1)=5$. What is $t(n+1)$?

Explicit: $t(n)=3n+2$
Recursive: $t(1)=5;t(n+1)=t(n)+3$