Question

8. Which of the following is closest to the value of $$ \sum_{k=1}^{19}\left(-\frac{2}{3}\right)^{k} $$ Hint: $$ \left(\frac{2}{3}\right)^{20} $$ is approximately 0.0003. A. 0.5991 B. -0.3991 C. -0.4002 D. -0.4011 E. 0.6002 F. 0.6011

Name: 8 which of the following is closest to the value of sumk119left frac23rightk hint leftfrac23right20 is approximately 00003 a 05991 b 03991 c 04002 d 04011 e 06002 f 06011 85194
Uploaded: 2020-03-26T15:47:48-08:00
Duration: 4 min 44 s
Channel: Carlos Pinilla
Description: 8 which of the following is closest to the value of sumk119left frac23rightk hint leftfrac23right20 is approximately 00003 a 05991 b 03991 c 04002 d 04011 e 06002 f 06011 85194

          8. Which of the following is closest to the value of
$$ \sum_{k=1}^{19}\left(-\frac{2}{3}\right)^{k} $$
Hint: $$ \left(\frac{2}{3}\right)^{20} $$ is approximately 0.0003.
A. 0.5991
B. -0.3991
C. -0.4002
D. -0.4011
E. 0.6002
F. 0.6011

$8 which of the following is closest to the value of sumk119left frac23rightk hint leftfrac23right20 is approximately 00003 a 05991 b 03991 c 04002 d 04011 e 06002 f 06011 85194$

Added by Sandra C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Carlos Pinilla

03/26/2020

Step 1

This is a finite geometric series. The formula for the sum of a finite geometric series is $$ S_n = a \frac{1-r^n}{1-r} $$, where 'a' is the first term, 'r' is the common ratio, and 'n' is the number of terms. In this series: The first term, when k=1, is $$ a = Show more…

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8. Which of the following is closest to the value of $$ \sum_{k=1}^{19}\left(-\frac{2}{3}\right)^{k} $$ Hint: $$ \left(\frac{2}{3}\right)^{20} $$ is approximately 0.0003. A. 0.5991 B. -0.3991 C. -0.4002 D. -0.4011 E. 0.6002 F. 0.6011