What is the sum of the geometric series ...
A.15,658
B.6,138
C.12,276
D.756
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OpenStudy (anonymous):
\[\sum_{n = 1}^{10} 6(2)^x\]
OpenStudy (anonymous):
@Hero Help Please ?
OpenStudy (anonymous):
@Hero I Didnt Block You , But Ok Thanks !
OpenStudy (anonymous):
@satellite73 Help ?
OpenStudy (anonymous):
@JamesJ Help
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OpenStudy (anonymous):
@AccessDenied Help
OpenStudy (jamesj):
What is the sum in general of a geometric series?
a + ar + ar^2 + ... + ar^(n-1) = ...
OpenStudy (anonymous):
ar ? what does that variable mean
OpenStudy (jamesj):
a and r are variables
OpenStudy (anonymous):
I know , representing what ?
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OpenStudy (jamesj):
numbers in a general geometric series.
I'm asking you what is the formula for the sum of geometric series so you can use it in this problem.
To cut to the chase
\[ a + ar + ar^2 + .... + ar^n = \sum_{j=0}^n ar^n = a \frac{r^{n+1} - 1}{r - 1} \]
Now apply this in your problem. Be careful about what is a and r in your problem and/or the indices
OpenStudy (jamesj):
\[ a + ar + ar^2 + .... + ar^n = \sum_{j=0}^n ar^j = a \frac{r^{n+1} - 1}{r - 1} \]