anonymous
  • anonymous
Write the sum using summation notation, assuming the suggested pattern continues. 5 - 15 + 45 - 135 + ...
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
first factor out 5 then it will be much easier
ankit042
  • ankit042
This is a geometric series with r = -3,a=5 Do you knoe the formula to calculate the sum of Geometric series?
anonymous
  • anonymous
no lol xD what is it?

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anonymous
  • anonymous
5(1-3+9-27...) these are all powers of 3
anonymous
  • anonymous
1 is zeroth power 3 is first power 9 is secend power and so on
ankit042
  • ankit042
You can check this video to learn more about Geometric series http://www.youtube.com/watch?v=pXo0bG4iAyg
anonymous
  • anonymous
\[\sum_{oo}^{n=0}5*3^n ?\]
anonymous
  • anonymous
oops switch the n=0 and oo
anonymous
  • anonymous
yes but there is a tiny problem alternating sign
anonymous
  • anonymous
if you will expend your summation you will get 5(1+3+9+27...)
anonymous
  • anonymous
you need odd powers to have -1 in front
anonymous
  • anonymous
\[\sum_{n=0}^{\infty}5*\left( -3 \right)^{n}or \sum_{n=0}^{\infty}5*\left( -1 \right)^{n}3^{n}\]
anonymous
  • anonymous
yes well done
anonymous
  • anonymous
OHH awesome thank you :)
anonymous
  • anonymous
@surjithayer could ya give @le0n a medal too!

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