anonymous
  • anonymous
PLEASE HELP! WILL MEDAL! Find the sum of the series.
Mathematics
jamiebookeater
  • jamiebookeater
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
\[\sum_{n=1}^{15} (2n+1)\]
anonymous
  • anonymous
there are a couple ways to do this
anonymous
  • anonymous
Okay I need the simplest way because I'm not good with this.

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anonymous
  • anonymous
ok lets find the first term, which means replace \(n\) by \(1\) what do you get?
anonymous
  • anonymous
3?
anonymous
  • anonymous
if that is confusing too, let me know and i will show you lol no not "3?" just "3"
anonymous
  • anonymous
I know it is just 3 I was asking if 3 was right.
anonymous
  • anonymous
yeah \(2\times 1+1=3\) ok now the top number is 15 so lets find the 15th term replace \(n\) by \(15\) and see what you get
anonymous
  • anonymous
31
anonymous
  • anonymous
ok good now there are 15 terms all together one formula you can use is \[\huge \frac{n}{2}\left(a_1+a_n\right )\]
anonymous
  • anonymous
you computed \(a_1=3,a_{15}=31\) and in this case \(n=15\)
anonymous
  • anonymous
so do this \[\frac{15}{2}(3+31)\]
anonymous
  • anonymous
15/2(33)
anonymous
  • anonymous
add first, divide by 2 then multiply by 15
anonymous
  • anonymous
you got that?
anonymous
  • anonymous
I meant 34 my number buttons are acting up and no. I was just stating the equation.
anonymous
  • anonymous
ok so now divide 34 by 2 then multiply the result by 15
anonymous
  • anonymous
255
anonymous
  • anonymous
you found the sount
anonymous
  • anonymous
sound bingo yes good work
anonymous
  • anonymous
Thank you for your help!
anonymous
  • anonymous
yw

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