Find the sum of the geometric sequence –3, 15, –75, 375, … when there are 8 terms and select the correct answer below.

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Find the sum of the geometric sequence –3, 15, –75, 375, … when there are 8 terms and select the correct answer below.

Algebra
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what is r?
What is what?
the common ratio

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Other answers:

Is it 5?
Or -5?
-5 looks right
\(\large\color{black}{ \displaystyle {\rm S}_{\rm n}=\frac{a_1\times \left(1-{\rm r}^{\rm n}\right)}{1-{\rm r}} }\) this is the formula, for the sum of a geometric sequence that starts from some \(a_1\) and has n terms.
you need to find r, identify the \(a_1\) that you are given, and tell me the number of terms (which you plug in for n). plug everything into the formula, and calculate.
I think I did something wrong in the equation because I got 24,414,063
holly molly.....
yeah it is wrong
tell me what was your common ratio (r)? what was your number of terms? what is the first term?
My common ratio was -5 The number of terms was 8 The first term was -3
yes
\((1-(r^n))\) is what I meant
\(\large\color{black}{ \displaystyle {\rm S}_8=\frac{ (-3)\times \left(1-(-5)^8\right)}{1-(-5)} }\) Click \(\bf\color{blue }{\href{http:///www.wolframalpha.com/input/?i=%28-3+%C3%97+%281+-+%28-5%29%5E8%29%29%2F%281-%28-5%29%29}{here}}\) to check the result.
My common ratio was -5 The number of terms was 8 The first term was -3
Is the answer 195,312??
yes, that is the answer.
Thank you so much!
anytime !

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