mathleaks.com mathleaks.com Start chapters home Start History history History expand_more
{{ item.displayTitle }}
navigate_next
No history yet!
Progress & Statistics equalizer Progress expand_more
Student
navigate_next
Teacher
navigate_next
Expand menu menu_open Minimize
{{ filterOption.label }}
{{ item.displayTitle }}
{{ item.subject.displayTitle }}
arrow_forward
No results
{{ searchError }}
search
menu_open home
{{ courseTrack.displayTitle }}
{{ statistics.percent }}% Sign in to view progress
{{ printedBook.courseTrack.name }} {{ printedBook.name }}
search Use offline Tools apps
Login account_circle menu_open

Writing and Using Explicit Rules for Geometric Sequences

Writing and Using Explicit Rules for Geometric Sequences 1.9 - Solution

arrow_back Return to Writing and Using Explicit Rules for Geometric Sequences
To find the first and the fifth terms of a geometric sequence, we need to write the equation for the term of the sequence. We are given the and terms of the sequence, and Their ratio gives us the value of We can find the first term by substituting and in the equation for the term of the sequence.
Solve for
The first term of the sequence is Therefore, the equation for the term of the sequence can be written as follows. Substituting for gives us the fifth term of the sequence.
Simplify right-hand side
The fifth term of the sequence is