Chapter 2 – Sequences and Recursion
Topic 2.4 – Exponential Growth and Geometric Sequences
Exponential Growth and Geometric Sequences discusses the recursion of repeated multiplication to arrive at an arithmetic sequence. The explicit formula is also discussed, including its connection to the recursive formula and to the standard exponential growth model used in Continuously Compounded Interest and Radioactive Decay, among other lessons. We prefer sequences to begin with the term [latex]g_0[/latex] rather than [latex]g_1[/latex]. Therefore, the explicit formula is given as [latex]g_n = g_0r^n[/latex] rather than [latex]g_n = g_1r^{n-1}[/latex].
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