Number series with squares and cubes
Lesson 7 of 20 in Union Aptitude Prep. The start plays free here.
- A row of numbers
- A pattern to recognize
- A next number to choose
- 3² = 3 × 3 = 9
- Squares: 1, 4, 9, 16, 25
- Square gaps: +3, +5, +7, +9
- Cubes: 1³ = 1, 2³ = 8, 3³ = 27
- Powers of 2: 2, 4, 8, 16
- Number series trainer
- Algebra & functions with worked steps
- Reading comprehension sets
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How the lesson starts
You see a row of numbers and must choose what comes next. This kind of number pattern question appears in the official Algebra and Functions sample.
You see three squared in a number row. The exponent counts factors, not how much to add. Three squared means three times three: nine.
Then, in the full lesson
- Spot squares
- Growing gaps
- Spot cubes
- Same base
- 2 questions along the way
A question from this lesson
Continue the square pattern: 36, 49, 64, __.
- 81
- 128
- 73
Show the answer
A. 81. 81 is nine squared, after six, seven, and eight squared. The next gap is seventeen. Adding nine gives 73, not the next square. Doubling gives 128, which does not follow this square pattern.
The full class, $39 once.
Paid once, no subscription. Ask for a refund within 7 days of buying if you’ve done less than 25% of the class.
- Number series trainer
- Algebra & functions with worked steps
- Reading comprehension sets
Not affiliated with IBEW, NECA, ETA or any JATC. Original practice questions only.