What Are Arithmetic Sequences?
An arithmetic sequence is a list of numbers where each term increases or decreases by the same amount.
When working with fractions, we add or subtract the same fraction each time. It's like climbing fraction stairs - each step takes you the same distance up or down!
How to Find the Pattern
1️⃣ Look at the first two numbers - find the difference between them
2️⃣ Check the next numbers - does the same difference work?
3️⃣ Continue the pattern - keep adding or subtracting that difference!
Let's Practice Together!
Example 1: Complete the Sequence
Find the next two numbers in this sequence:
\(\frac{1}{2}\), \(\frac{3}{4}\), 1, \(\frac{5}{4}\),
,
Example 2: Find the Missing Number
What number is missing in this sequence?
\(\frac{2}{3}\),
,
\(\frac{4}{3}\), \(\frac{5}{3}\), \(\frac{2}{1}\)
Parent Tips 🌟
- Kitchen fractions: Use measuring cups to create real-life sequences (¼ cup, ½ cup, ¾ cup) to show the pattern.
- Visual aids: Draw number lines or pie charts to help visualize how fractions grow in sequences.
- Positive reinforcement: Celebrate when they recognize patterns - even if they don't always get the answer right!