Observe this sequence of decimal numbers and identify the change after each term. Continue this sequence and write the next 3 terms: 4.4, 4.8, 5.2, 5.6, 6.0, …
Step 1: Identify the pattern. 4.8 - 4.4 = 0.4 5.2 - 4.8 = 0.4 5.6 - 5.2 = 0.4 6.0 - 5.6 = 0.4
Step 2: Determine the rule. Each term increases by 0.4.
Step 3: Calculate the next 3 terms. 6.0 + 0.4 = 6.4 6.4 + 0.4 = 6.8 6.8 + 0.4 = 7.2
Answer: The next 3 terms are 6.4, 6.8, 7.2.
Explanation
Each term increases by 0.4. 4.4 + 0.4 = 4.8, 4.8 + 0.4 = 5.2, 5.2 + 0.4 = 5.6, 5.6 + 0.4 = 6.0. Continuing: 6.0 + 0.4 = 6.4, 6.4 + 0.4 = 6.8, 6.8 + 0.4 = 7.2.
Solution Steps
Step 1: Identify the pattern: 4.8 - 4.4 = 0.4, 5.2 - 4.8 = 0.4, 5.6 - 5.2 = 0.4, 6.0 - 5.6 = 0.4
Step 2: Each term increases by 0.4
Step 3: Next terms: 6.0 + 0.4 = 6.4, 6.4 + 0.4 = 6.8, 6.8 + 0.4 = 7.2