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Use the formula for $S_{n}$ to determine the sum of the terms of each geometric sequence.$$\frac{1}{3}, \frac{1}{9}, \frac{1}{27}, \frac{1}{81}, \frac{1}{243}$$
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
Boston College
Lectures
07:16
In mathematics, a continuo…
04:09
00:32
Use the formula for $S_{n}…
00:52
01:42
Find the sum of each geome…
02:30
01:51
02:00
00:22
Find a formula for the gen…
00:53
02:07
01:46
Use the formula for the su…
great. So we need the some of the sequence. And so first count the terms, there are five of them. So as Sabah, Ace of one is one. And the ratio that we're multiplying body is 1/3 and we're going to raise that to the fifth power over one minus 1/3. Putting that into our calculator will lead us to a total of 121 over 80.
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