Question

Determine the 5th term in the geometric sequence $\frac{6}{5}$, $\frac{18}{5}$, $\frac{54}{5}$, ... $\frac{671}{5}$ $\frac{291}{5}$ $\frac{123}{2}$ $\frac{486}{5}$

Name: determine the 5th term in the geometric sequence frac65 frac185 frac545 frac6715 frac2915 frac1232 frac4865 85543
Uploaded: 2020-05-12T18:35:32-08:00
Duration: 50 s
Channel: Amy Jiang
Description: determine the 5th term in the geometric sequence frac65 frac185 frac545 frac6715 frac2915 frac1232 frac4865 85543

          Determine the 5th term in the geometric sequence $\frac{6}{5}$, $\frac{18}{5}$, $\frac{54}{5}$, ...
$\frac{671}{5}$
$\frac{291}{5}$
$\frac{123}{2}$
$\frac{486}{5}$

$determine the 5th term in the geometric sequence frac65 frac185 frac545 frac6715 frac2915 frac1232 frac4865 85543$

Added by Rodrigo W.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Amy Jiang

05/12/2020

Step 1

The given sequence is $\frac{6}{5}$, $\frac{18}{5}$, $\frac{54}{5}$, ... The first term, $a_1 = \frac{6}{5}$. To find the common ratio $r$, divide the second term by the first term: $r = \frac{\frac{18}{5}}{\frac{6}{5}} = \frac{18}{5} \times \frac{5}{6} = Show more…

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Determine the 5th term in the geometric sequence $\frac{6}{5}$, $\frac{18}{5}$, $\frac{54}{5}$, ... $\frac{671}{5}$ $\frac{291}{5}$ $\frac{123}{2}$ $\frac{486}{5}$