Question: LEARNING ACTIVITY SHEET
Learning Area: General Mathematics Quarter: 1
Lesson No.: 2.1 Date:
Lesson Title/ Topic: Sequences
Name: Grade & Section:
I. Activity No. 1:
II. Objective(s): At the end of the activity, you should be able to determine the next term of a
given sequence and apply the rule of the given sequence in finding the next term in a
sequence
III. Materials Needed: pen and paper
IV. Instructions: Analyze and solve each problem.
Activity 1: What’s the Next Term?
Do the following:
a. Give the next term of the given sequences.
b. Identify the rule
1. 81, 27, 9, 3, ____
1. **Problem:** Find the next term of the sequence $$81, 27, 9, 3, \_\_\_$$ and identify the rule.
2. **Rule:** This is a geometric sequence where each term is multiplied by $$\frac{1}{3}$$ to get the next term.
3. **Step 1:** Confirm the ratio:
$$\frac{27}{81} = \frac{1}{3}, \quad \frac{9}{27} = \frac{1}{3}, \quad \frac{3}{9} = \frac{1}{3}$$
4. **Step 2:** Find the next term by multiplying the last term by $$\frac{1}{3}$$:
$$3 \times \frac{1}{3} = 1$$
5. **Answer:** The next term is $$1$$.
**Summary:** The sequence is geometric with common ratio $$\frac{1}{3}$$, and the next term after $$3$$ is $$1$$.