Math Problem Statement

04,45,24,16,89,28 28,25,16,12,20,65 46,85,90,72,72, 93 ,69,76,12,____,Find the missing numbers with correct calculation

Solution

To find the missing numbers in the sequence , 69, 76, 12, ____, we first need to observe the patterns in the previous sets:

  • Sequence 1: 04, 45, 24, 16, 89, 28
  • Sequence 2: 28, 25, 16, 12, 20, 65
  • Sequence 3: 46, 85, 90, 72, 72, 93
  • Sequence 4: , 69, 76, 12, ____

Let’s calculate each position from the first three sequences and try to deduce a relationship for each position:

  1. First number:

    • Sequence 1: 04
    • Sequence 2: 28
    • Sequence 3: 46
    • Sequence 4: ___

    We notice an increasing pattern:

    • 28 - 4 = 24
    • 46 - 28 = 18

    The difference decreases by 6 each time (24, 18), so we subtract 12 from 46: 4612=3446 - 12 = 34 So the first missing number is 34.

  2. Second number:

    • Sequence 1: 45

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Math Problem Analysis

Mathematical Concepts

Number Patterns
Arithmetic Sequences
Subtraction

Formulas

Difference between consecutive terms

Theorems

Arithmetic sequence property

Suitable Grade Level

Grades 6-8