This will serve as a guide for you learners. It specifically aims to illustrate arithmetic sequence, identifying sequences that are arithmetic and their common difference, and solving for the nth term of an arithmetic sequence.

1. Illustrating
and Finding
the nth
term of an
ARITHMETIC
SEQUENCE
LEARNING ACTIVITY SHEET
WEEK 1 QUARTER 1
RADIO BASED INSTRUCTION IN
MATHEMATICS 10

2. Objective
This aims to facilitate students'
learning on how to illustrate
arithmetic sequence and how to
find the nth term of an Arithmetic
Sequence.

3. Arithmetic
Sequence
A sequence where
every term after the
first is obtain by
adding a constant
number called the
common difference.

4. Example 1
The sequence
6, 9, 12, 15, 18
is an arithmetic sequence
with common difference 3.
The sequence 6, 9, 12,
15, 18 represents the
amount of peso each
week in Brielle's "IPON
CHALLENGE"

5. Common
Difference
To find the common difference in
an arithmetic sequence, just
subtract the first term from the
second term, the second term
from the third term or subtract
two succeeding terms.

6. 6, 9, 12, 15, 18
So, the common difference is 3

7. Example 2
Find the common difference
of arithmetic sequence
20, 18, 16, 14, 12
What is the
common difference?

8. Activity 1:
Tell Me
Tell if the following
sequences illustrate
Arithmetic sequence or
not.

9. Find the
nth term
Find the 10th term of the
sequence 20, 18, 16,...?

10. Arithmetic
Sequence
Formula

12. Find the
nth term
Find the 24th term of the
sequence 4, 7, 10...,?

14. Activity 1:
FIND ME

15. Activity 1:
FIND ME
1. 57
2. -7
3. 69
4. 48.5
Answers:

16. Thank
you for
listening!
SHANNA MAE B. BEA
Radio Broadcaster