Home > CCG > Chapter 5 > Lesson 5.1.4 > Problem 5-43
Write an equation for each sequence.
, , ,
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.
; , where stands for previous term and stands 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?
; , where stands for the previous term and " " stands for the the common ratio (multiplier) in the sequence ; , , ,
The general equation for an arithmetic sequence is
, where in the sequence, is the difference, and is the starting value. , , ,
Find the common ratio (multiplier) in the sequence.
Use the equation for geometric sequences: