anonymous
  • anonymous
Find the sum of the infinite series 4 + 3.2 + 2.56 + 2.048 +...if it exists.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
@Loser66 can u help?
anonymous
  • anonymous
i cant remeber what the formula for sum is
anonymous
  • anonymous
Sn=a1*1-n/1-n i think?

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welshfella
  • welshfella
this is a geometric series sum to infinity = 1 / (1 - r) where a = frist term and r = common difference
welshfella
  • welshfella
sorry that' s a / (1 - r)
welshfella
  • welshfella
to find r divide 2nd term by first this should equal 3rd / 2nd
anonymous
  • anonymous
4/(r-.8)
anonymous
  • anonymous
4/(1-.8)
welshfella
  • welshfella
yes
anonymous
  • anonymous
i got .05
welshfella
  • welshfella
you ve gone wrong somewhere = 4 / (1 - 0.8) = 4 / 0.2
anonymous
  • anonymous
20
welshfella
  • welshfella
thats it
anonymous
  • anonymous
how would i know if it doesnt exists?
welshfella
  • welshfella
here each term is decreasing - so the sum converges to a certain value If each term was greater than the last the sum would diverge - a limit would not exist
anonymous
  • anonymous
okay. can u help me with a few more please? im still trying to get the hang out this
welshfella
  • welshfella
eg 2 + 4 + 6 diverges
welshfella
  • welshfella
ok
anonymous
  • anonymous
should i ask here or open a new post
welshfella
  • welshfella
best to open a new post

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