Question 36 of 41advanced🔍 AnalyzeNumerical2 marks

Extend the pattern: 5.5, 6.4, 6.39, 7.29, 7.28, 6.18, 6.17, ___, ___

Correct Answer

Step 1: Analyze pattern: +0.9, -0.01, +0.9, -0.01, -1.1, -0.01 5.5 + 0.9 = 6.4 6.4 - 0.01 = 6.39 6.39 + 0.9 = 7.29 7.29 - 0.01 = 7.28 7.28 - 1.1 = 6.18 6.18 - 0.01 = 6.17

Step 2: The pattern alternates between adding/subtracting 0.9/1.1 and subtracting 0.01.

Step 3: After 6.17, add 0.9: 6.17 + 0.9 = 7.07

Step 4: Then subtract 0.01: 7.07 - 0.01 = 7.06

Answer: The next two terms are 7.07 and 7.06.

Exercise: Figure it Out (Section 3) | Q: 10 | (Page Page 33)
For More Understanding

Explanation

Analyze the pattern: 5.5 + 0.9 = 6.4, 6.4 - 0.01 = 6.39, 6.39 + 0.9 = 7.29, 7.29 - 0.01 = 7.28, 7.28 - 1.1 = 6.18, 6.18 - 0.01 = 6.17. The pattern alternates between adding/subtracting 0.9/1.1 and subtracting 0.01. Continuing: 6.17 + 0.9 = 7.07, 7.07 - 0.01 = 7.06.

Solution Steps

  1. Step 1: Analyze pattern: +0.9, -0.01, +0.9, -0.01, -1.1, -0.01

  2. Step 2: The pattern seems to alternate between operations

  3. Step 3: After 6.17, add 0.9: 6.17 + 0.9 = 7.07

  4. Step 4: Then subtract 0.01: 7.07 - 0.01 = 7.06

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