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Integer Sequences

1, 1, 2, 3, 5, 8, 13, ... These Fibonacci numbers grow like rabbits!

Finding the General Term

         

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 \(ab\)?

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

\[ 1, 8, 27, 64, 125 \ldots ? \]

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

\[ 2, 5, 28, 257, 3126, \ldots \]

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

\[ 4, 6, 8, 10, 12 \ldots ? \]

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

\[ 5, 9, 13, 17, 21 \ldots ? \]

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