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Basic Mathematics

Pattern Recognition

Intro

Concept Quizzes

Patterns Using Arithmetic Warmup
Patterns Using Geometry Warmup
Sequences Based on Position
Identifying Pattern Relationships
What Comes Next?
Rotations
Reflections And Translations
Dilation
Dissection (Step Up Quiz)
Finding Specific Terms in a Pattern
General Term Pattern Recognition

Challenge Quizzes

Pattern Recognition: Level 1 Challenges
Pattern Recognition: Level 2 Challenges
Pattern Recognition: Level 3 Challenges

General Term Pattern Recognition

A general term of the sequence $-8, -7, -9, -5, -13, 3, \cdots$ can be expressed as $\displaystyle \frac{a-b^{n-1}}{3}$ , where $a$ and $b$ are integers. What is the value of $ab$ ?

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by Brilliant Staff

Which of the options represents the general term of the following sequence:

$1, 8, 27, 64, 125 \ldots ?$

n^2

n^3

5n^2

3n^2

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by Brilliant Staff

Which of the options represents the general term of the following sequence:

$2, 5, 28, 257, 3126, \ldots$

n!

n^ {n + 1}

n^n + 1

n^n - 1

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by Brilliant Staff

Which of the options represents the general term of the following sequence:

$4, 6, 8, 10, 12 \ldots ?$

(n+1)^2

n^2 + 2n

4n - 3

2n +2

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by Brilliant Staff

Which of the options represents the general term of the following sequence:

$5, 9, 13, 17, 21 \ldots ?$

4n +3

4n - 3

4n +1

4n - 1

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by Brilliant Staff

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