Sect Geometric sequence to download7.3.ppt

Lecture notes

1. Sect 7.3: Geometric Sequence
A geometric sequence is a pattern of
numbers such that to get from one term
to the next, you MULTIPLYby the
same value.

2. Examples of Geometric Sequences:

3. Find the 10
th
term…20
th
term… 40
th
term…

4. Geometric Sequence
Ex: The first three terms are 3, 6, and 12.

5. Ex: Find the 5
th
term, 8
th
term, and the n
th
term of the sequence: 27, 9, 3, 1, …

7. Partial Sums of a Geometric
Sequence
Ex: Find the sum of the first five terms
of the geometric sequence: 1, .3, .09, …

8. Want A Job?
Would you work for someone who offered you
$0.01 for the first day’s wages and then doubled
your daily wages for each day following for an
entire month (31 days)?

9. Sum of an Infinite Geometric
Sequence
Ex: Find the sum of ALL the terms of
the geometric sequence:
4, 2, 1, …

10. Sum of an Infinite Geometric
Sequence

11. Find the sum of the infinite series if it exists:

12. Find the sum of the infinite series if it exists:

13. Find the sum of the infinite series if it exists: