1. Homework: Explicit & Recursive Definitions of
Homework: Explicit & Recursive Definitions of Date:_____________________
Geometric Sequences
Directions: Read and complete each question.
1. For the sequence 2, 6, 18, 54, , find
a. a recursive definition,
b. an explicit definition,
c. u10,
d. n such that un = 4374,
Consider the sequence pictured at right.
a. What are the terms of the sequence?
b. What is the common ratio?
c. If the sequence continues, what is u4 ?
d. Write the explicit formula for the sequence.
e. Write the recursive formula for the sequence.
Consider the sequence
a. What is the common ratio?
b. Write the explicit formula for the sequence.
c. Find u6 .
If a10 = 6 and a12 = 24,
a. Find a8 ,
c. Write the recursive formula for the sequence.
d. Find n such that an =768.
If , find
a. a recursive definition,
b. the common difference,
c. n such that