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Author Archives: Anonymous

A streaming service charges $18 for the first month and incr…

A streaming service charges $18 for the first month and increases the cost by $4 each month. Let \(a_n\) represent the cost of the \(n\)th month.   Which recursive rule models this situation?

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Which description best identifies the sequence \(100, 50, 25…

Which description best identifies the sequence \(100, 50, 25, 12.5, \dots\)?

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Find the sum of the first 15 terms of the arithmetic series…

Find the sum of the first 15 terms of the arithmetic series 4 + 9 + 14 + …

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A sequence is defined by \(a_n = 8(3)^{n-1}\).   What is the…

A sequence is defined by \(a_n = 8(3)^{n-1}\).   What is the value of \(a_6\)?

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A geometric sequence has \(f(1)=3\) and common ratio 5.   Fi…

A geometric sequence has \(f(1)=3\) and common ratio 5.   Find \(\sum_{n=1}^{7} f(n)\).

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The following input–output pairs describe a sequence:   Dat…

The following input–output pairs describe a sequence:   Data Table \(n\) 1 2 3 \(a_n\) 16 8 4   Which explicit rule represents this sequence?

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A circle has endpoints of a diameter at \((-3,2)\) and \((5,…

A circle has endpoints of a diameter at \((-3,2)\) and \((5,2)\). What is its equation?

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A bouncing ball’s rebound height is modeled by \(f(n) = 24\l…

A bouncing ball’s rebound height is modeled by \(f(n) = 24\left(\frac{3}{4}\right)^{n-1}\).   Find the total height of the first 5 bounces.

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A sequence is modeled by \(a_n = 1{,}200(0.85)^{n-1}\).   Wh…

A sequence is modeled by \(a_n = 1{,}200(0.85)^{n-1}\).   What is the value of \(a_4\)?

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The table represents an arithmetic sequence:   Data Table…

The table represents an arithmetic sequence:   Data Table \(n\) 1 2 3 4 \(a_n\) 6 10 14 18   Find the sum of the first 25 terms.

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