In mathematics, a series is the sum of the terms of an infinite sequence of numbers. For other uses, see Convergence (disambiguation). If they converge, determine the value to which they converge to."Convergence (mathematics)" redirects here. Request PDF Sequences: Convergence and Divergence In Section 2.1, we consider (infinite) sequences, limits of sequences, and bounded and monotonic. If it is a convergent geometric sequence, the |r| 1.ĭetermine whether the following sequences converge or diverge. If you are given the equation of the geometric sequence, you can look at the common ratio and determine if it converges or diverges. The basic format of a geometric equation is a n = (r) n. This method can be used to determine if geometric sequences converge or diverge based on the common ratio (r) of the geometric sequence. If the final value has a "n" in it, it is a divergent sequence. If the final value comes out to be a real number,the sequence converges to that real number. When the simplification is complete you can determine if the sequence converges or diverges based on the final value.
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