This document discusses geometric sequences and provides examples of calculating terms of geometric sequences given initial terms and common ratios. It also covers finding geometric means between two terms by taking the square root of the product of the terms. Examples include finding the 6th term of the sequence 3, -12, 48, -192, finding the 7th term of a sequence where the 2nd term is 24 and 5th term is 3, and finding geometric means between 4 and 9 by taking the square root of their product.

1. 11.6 Geometric Sequence.notebook April 12, 2013
Geometric Sequences
The general formula for a geometric sequence is tn = t1* n ­ 1
r
tn = the term we would like to find t1 = first term
n = from tn r = common ratio
1. Find a formula for the nth term of the sequence 3, ­12, 48, ­192, . . .
t1 = r =

2. 11.6 Geometric Sequence.notebook April 12, 2013
3, ­12, 48, ­192, . . .
2. Find t6 for the geometric sequence above:

3. 11.6 Geometric Sequence.notebook April 12, 2013
3. Find t7 for the geometric sequence in which t2 = 24 and t5 = 3.
Write equations for t2 and t5.

4. 11.6 Geometric Sequence.notebook April 12, 2013
Geometric means are the terms between two given terms of a geometric
sequence.
To find one geometric mean we multiply the two terms and then take the
square root of the answer.
4. Find the geometric mean of 4 and 9.
5. Insert 3 geometric means between and .