geometric series

2. S U M

3. G E O M E T R Y

4. S E Q U E N C E

5. S E R I E S

6. R A T I O

7. THE SUM OF
GEOMETRIC
SEQUENCE

8. GEOMETRIC SERIES
A geometric series is the sum
of the terms of a geometric
sequence.

9. Example 1. Find the sum of the first four terms of the
geometric series: 1,2,4,8
1 + 2 + 4 + 8 = ?
15

10. SUM OF A FINITE GEOMETRIC
SEQUENCE
Formula:
𝑺𝒏 =
𝒂𝟏(𝟏 − 𝒓𝒏
)
(𝟏 − 𝒓)
Where:
𝑆𝑛 = the sum of the first n terms
𝑎1 = first term
𝑟 = common ratio
𝑛 = number of terms

11. Find the sum of the first five terms of the
geometric series:
1, 2,4,8…

12. What is the sum of the first 7 terms
of a finite geometric series if the
first term a1 = 1 and the common
ratio (r) = 2?

13. ASSIGNMENT:
Make a Jingle related to geometric
sequence and present it to the
class tomorrow.