June 28

1. ARITHMETIC AND
GEOMETRIC
SEQUENCE
𝑛 𝑡ℎ term, common difference, means, and sum (arithmetic)
Common ratio

2. 1. WHAT IS COMMON
DIFFERENCE? WHAT
ABOUT COMMON
RATIO?

3. 2. WHAT IS THE MOST
IMPORTANT CHARACTERISTICS
THAT YOU SHOULD REMEMBER
IN IDENTIFYING ARITHMETIC
OR GEOMETRIC SEQUENCE?

4. 3. HOW WILL YOU FIND
THE LAST TERM GIVEN
THE COMMON
DIFFERENCE, NUMBER OF
TERMS, AND FIRST
TERM?

5. 4. WHY DO WE NEED
TO KNOW THE
COMMON DIFFERENCE
OF AN ARITHMETIC
SEQUENCE?

6. Test I. Directions: Find the missing terms in arithmetic sequence in
each arithmetic sequence.
1. 3, 12, 21,__,__,__
2. 8, 3, −2, __,__
3. 5, 12 ,__,26 ,__
4. 2, __, 20, 29 ,__
5. 4,__,__,19,__, 29

7. Test II. Directions: Find the sum of each of the following.
1. Odd numbers from 1 to 50
2. Even numbers from 1 to 101

8. Test III. Directions: Determine whether each sequence is
arithmetic, geometric, or neither. Write “-“ if it is arithmetic
sequence, then give the common difference, " ÷” if geometric give
the common ratio or RV if neither.
1. 6, 18, 54, 162, …
2. 4, 10, 16, 22, …
3. −
1
42
, −
1
35
, −
1
28
, −
1
21
, …

9. 1. Define arithmetic sequence and geometric
sequence.
2. What is common difference? Common ratio? State
whether the given sequence is an arithmetic or
geometric
a. 77, 70, 63, 56, 49 …
b. 6400, −1600, 400, −100, 25 …
c. 6, 30, 150, 750, 3750 …
TEST IV.

11. 11
Arithmetic Sequence is a sequence where each term after the
first is obtained by adding the same constant, called the
common difference.
Common Difference is a constant added to each term of an
arithmetic sequence to obtain the next term of the sequence.
Geometric Sequence is a sequence where each term after the
first is obtained by multiplying the preceding term by a nonzero
constant called the common ratio.
Common Ratio is a constant multiplied to each term of a
geometric sequence to obtain the next term of the sequence.