### Home > CCG > Chapter 5 > Lesson 5.1.4 > Problem 5-43

Write an equation for each sequence. Homework Help ✎

, , , A recursive formula specifies the first term, then gives a formula for each 'next term' based on the previous term.

Identify the first term and common difference in the sequence.

;, wherestands for previous term andstands for the difference in the sequence.;

, , , Find the pattern in the sequence. What do you have to multiply by in order to get to the next term?

;, wherestands for the previous term and "" stands for the the common ratio (multiplier) in the sequence;

, , , The general equation for an arithmetic sequence is

, where= position in the sequence,is the difference, and*a*_{1}is the starting value.

, , , Find the common ratio (multiplier) in the sequence.

Use the equation for geometric sequences: