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anonymous
 one year ago
I will fan and Medal!!!! Please help if you can!
The sum of first three terms of a finite geometric series is 7/10 and their product is 1/125. [Hint: Use a/r, a, and ar to represent the first three terms, respectively.] The three numbers are _____, _____, and _____.
anonymous
 one year ago
I will fan and Medal!!!! Please help if you can! The sum of first three terms of a finite geometric series is 7/10 and their product is 1/125. [Hint: Use a/r, a, and ar to represent the first three terms, respectively.] The three numbers are _____, _____, and _____.

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amoodarya
 one year ago
Best ResponseYou've already chosen the best response.1\[a+aq+aq^2=\frac{7}{10}\\a*(aq)*(aq^2)=\frac{1}{125}\] is it ?

amoodarya
 one year ago
Best ResponseYou've already chosen the best response.1a little trick , if we use it is simpler \[a_1=\frac{a}{q} \\a_2=a\\a_3=aq\\now\\\frac{a}{q}+a+aq=\frac{7}{10}\\\frac{a}{q}*a*aq=\frac{1}{125}\rightarrow a^3=\frac{1}{125} \rightarrow a=\frac{1}{5}\\\] now put a=1/5 to other equation and find q

amoodarya
 one year ago
Best ResponseYou've already chosen the best response.1\[a=\frac{1}{5}\\\frac{a}{q}+a+aq=\frac{7}{10}\\\frac{\frac{1}{5}}{q}+\frac{1}{5}+\frac{1}{5}q=\frac{7}{10}\\\frac{1}{q}+1+q=3.5\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thanks alot @amoodarya
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