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Evaluate the indicated term for each geometric sequence. See Example $3 .$$$\frac{2}{3}, \frac{1}{3}, \frac{1}{6}, \ldots ; \quad a_{18}$$
Precalculus
Chapter 14
Sequences and Series
Section 3
Geometric Sequences
Introduction to Sequences and Series
Introduction to Combinatorics and Probability
Johns Hopkins University
Harvey Mudd College
University of Michigan - Ann Arbor
Boston College
Lectures
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Find the indicated term of…
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Given the sequence two thirds, one third, 1/6 recognize that the common ratio would be one half. Mhm. We're multiplying by one half each time, so to find the 18th term, we take the first term times the common ratio to the N -1 where N is 18, so would be to the 17th would be -1. I would use a calculator 2/3 times one half to the 17th As a fraction. That'd be one over 196,608.
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