Question 266760
I have to find the sum of the geometric sequence
{{{ (1/6), (1/18), ... (1/486) }}}

This is what I have so far:

r=(1/3)

{{{ (1/486) = (1/6)*(1/3)^(n-1) }}}
(it's supposed to be (n-1))
from this I got n=5


{{{ (1/6)*(1-(1/3)^5) / (1-(1/3)) }}}

 [(1/6)*(1-(1/243))] / (2/3)
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= [(1/6) -(1/1458)]/(2/3)
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= [(243/1458)-(1/1458)]/(2/3)
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= [242/1458]/(2/3)
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= (3/2)*(242/1458)
= 121/486
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Cheers,
Stan H.
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As elementary as this is, I need help finding the sum and understanding the process(es) of how to work this equation when fractions are in the mix. (That is, unless I've made mistakes prior to getting to this point.)