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Number Theory

Integer Sequences

Concept Quizzes

General Term Pattern Recognition

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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