The geometric series is the sum of the geometric sequences.

1. Geometric
Series
Week 5

2. • Differentiate a geometric sequence from
geometric series.
• Solve for the sum of the first n terms of a
geometric sequence.
• Solve word problems involving geometric series.
By the end of this lesson, The learners
should be able to do the following:

5. Let's try this!
Is the sequence FINITE or INFINITE geometric
sequence?
1. -5, -10, -20,...,-320
2. ...,3,6,18,36
3. 16,8,4,...
4. 6,-12,24,-48
5. ...,125,25,5,...
INFINITE
FINITE
FINITE
INFINITE
INFINITE

7. Formula

8. Formula

9. Examples:
Find the sum of each infinite geometric
series.
1. 64,16,4,1,...
2. 1/3+1/9+1/27+1/81+...

10. Steps to follow:
Step 1: Substitute the given to the formula.
Step 2: Simplify
Step 3: Write your conclusion
The 7th partial sum of
the geometric series
is 𝟒, 𝟑𝟕𝟐.

11. Steps to follow:
Step 1: Determine the missing value
Step 2: Substitute the given to the formula.
Step 3: Simplify
Step 4: Write your conclusion

12. 𝑟=𝑎2÷𝑎1

16. Many equations
used in physics and
science can be
modelled using
polynomials. Aside
from this, operations
on polynomials can
help us model
relationships
between volumes
and surface areas.

17. In this lesson, we
will learn about
synthetic division
and how it can
help us find the
quotient and
remainder when
dividing a
polynomials with a
linear divisor.

40. You did great.
See you next time!