Question

Find the sum of the given finite geometric series. $1 - \frac{1}{2} + \frac{1}{4} - \frac{1}{8} + ... + \frac{1}{256}$ The sum of the finite geometric series is $oxed{ }$. (Type an integer or a simplified fraction.)

          Find the sum of the given finite geometric series.
$1 - \frac{1}{2} + \frac{1}{4} - \frac{1}{8} + ... + \frac{1}{256}$
The sum of the finite geometric series is $oxed{ }$.
(Type an integer or a simplified fraction.)

$Find the sum of the given finite geometric series. 1 - (1)/(2) + (1)/(4) - (1)/(8) + ... + (1)/(256) The sum of the finite geometric series is oxed. (Type an integer or a simplified fraction.)$

Added by Shannon B.

Elementary and Intermediate Algebra

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

Instant Answer

Solved by Expert Babita Kumari

07/18/2021

Step 1

The common ratio, r, can be found by dividing any term by the previous term. In this case, we can see that each term is obtained by multiplying the previous term by -1/2. Therefore, the common ratio is -1/2. Show more…

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Find the sum of the given finite geometric series. 1-(1)/(2)+(1)/(4)-(1)/(8)+dots+(1)/(256) The sum of the finite geometric series is (Type an integer or a simplified fraction.) Find the sum of the given finite geometric series 1 1 1 1 2 4 8 256 The sum of the finite geometric series is (Type an integer or a simplified fraction.)