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A sequence increases by 11 each term and has \(a_1 = 5\).   What is the value of \(a_{13}\)?

A sequence is defined by the explicit rule \(a_n = 12(0.5)^{n-1}\).   Which recursive rule matches this sequence?

A geometric sequence has \(f(1)=24\) and a common ratio \(\frac{2}{5}\).   Find \(\sum_{n=1}^{\infty} f(n)\).

A sequence is defined by \(a_n = 3(4)^{n-1}\).   What is the value of \(a_6\)?

The graph shows a system of two inequalities, \( y = f(x) \) and \( y = g(x) \). Based on the graph, which point is a solution for the system? The x-axis and y-axis span from below zero to above 5, with a scale of 5 in increments of 1. A solid red V-shaped function has a sharp vertex at (2,2) and a y-intercept of (0, 4). The triangular area above it is shaded in light red. A dashed blue parabola opens downward, enclosing a white unshaded parabolic region, while the surrounding area is shaded light blue. The parabola has its vertex at a coordinate with x value roughly halfway between 1 and 2 and y value roughly halfway between 0 and 1. It passes through the coordinates (0, negative 2) and (3, negative 2) and extends downward. The red and blue-shaded areas overlap in the upper portion of the graph. The white parabolic region in the lower portion of the graph remains unshaded.

A sequence is defined by the recursive rule \(a_1 = 5\) and \(a_n = a_{n-1} + 8\).   Which explicit formula represents this sequence?

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?

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

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

A savings account starts with $500 and increases by $75 each month.   Which explicit rule represents the total amount after \(n\) months, where \(a_1\) is the amount after the first month?