2.1

Topic

Change in Arithmetic and Geometric Sequences 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. 2.1.A.2 Successive terms in an arithmetic sequence have a common difference, or constant rate of change. 2.1.A.3 The general term of an arithmetic sequence with a common difference d is denoted by an and is given by an = a d 0 + n, where a0 is the initial value, or by an = a + d(n k − ) k , where ak is the kth term of the sequence. 2.1.B 2.1.B.1 Express geometric sequences found in mathematical and contextual scenarios as functions of the whole numbers.