Math Problem Statement
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100, 98, 96, 94, ___
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12, 13, 15, 18, 22, ___
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7, 20, 47, 94, 167, ___
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1, 4, 2, 8, 6, 24, 22, ___
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11, 23, 48, 99, ___
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6, 13, 27, 55, 111, ___
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8, -24, 72, -216, 648, -1994, ___
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5, 27, 137, 687, 3437, ___
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34, 7, 37, 14, 40, 28, ___
Solution
Here are the solutions for each sequence:
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100, 98, 96, 94, ___
This sequence decreases by 2.
Next number: 92. -
12, 13, 15, 18, 22, ___
The differences are 1, 2, 3, 4 (increasing by 1 each time).
Next difference: 5.
Next number: 27. -
7, 20, 47, 94, 167, ___
The pattern is that each term can be expressed as :
Next number: 274.
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1, 4, 2, 8, 6, 24, 22, ___
The pattern alternates:- Multiply by 4 and
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Math Problem Analysis
Mathematical Concepts
Sequences
Patterns
Arithmetic Progression
Geometric Progression
Formulas
Arithmetic sequence formula
Geometric sequence formula
Theorems
Principle of mathematical induction
Suitable Grade Level
Grades 6-9
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