AP®︎ Precalculus: Topic 2.1 Practice Test

Essential Knowledge: 2.1.A.1

A sequence is a function from the whole numbers to the real numbers. Consequently, the graph of a sequence consists of discrete points instead of a curve.

Essential Knowledge: 2.1.A.2

Successive terms in an arithmetic sequence have a common difference, or constant rate of change.

Essential Knowledge: 2.1.A.3

The general term of an arithmetic sequence with a common difference $d$ is denoted by $a_n$ and is given by $a_n = a_0 + dn$, where $a_0$ is the initial value, or by $a_n = a_k + d(n - k)$, where $a_k$ is the $k$th term of the sequence.

Essential Knowledge: 2.1.B.1

Successive terms in an increasing or decreasing geometric sequence have a common ratio, or constant proportional change.

Essential Knowledge: 2.1.B.2

The general term of an increasing or decreasing geometric sequence with a common ratio $r$ is denoted by $g_n$ and is given by $g_n = g_0r^n$, where $g_0$ is the initial value, or by $g_n = g_kr^{(n-k)}$, where $g_k$ is the $k$th term of the sequence.

Essential Knowledge: 2.1.B.3

An increasing arithmetic sequence increases equally with each step, whereas an increasing geometric sequence of positive values increases by a larger amount with each successive step.