Lukecrayonz
  • Lukecrayonz
Sigma notation with an infinity
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
Lukecrayonz
  • Lukecrayonz
|dw:1333316843597:dw|
Lukecrayonz
  • Lukecrayonz
@satellite73 quickly help please?:)
anonymous
  • anonymous
\[\frac{1}{1-\frac{1}{2}}=\frac{1}{\frac{1}{2}}=2\]

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Lukecrayonz
  • Lukecrayonz
Another question, one second.
Lukecrayonz
  • Lukecrayonz
Are you good with mathematical induction?
anonymous
  • anonymous
\[\sum_{k=0}^{\infty}r^k=\frac{1}{1-r}\]
anonymous
  • anonymous
i have heard of it
Lukecrayonz
  • Lukecrayonz
Oookay I'll do that one myself, or attempt to. Another one.
Lukecrayonz
  • Lukecrayonz
http://screensnapr.com/v/MQdsT7.png
Lukecrayonz
  • Lukecrayonz
I think it's none of these because if you DO evaluate it, its 61/20, and adding those up clearly does not get you your answer.
anonymous
  • anonymous
this is not induction, this is plug in the numbers and add
Lukecrayonz
  • Lukecrayonz
Oh no no, the mathematical induction question was something else.
Lukecrayonz
  • Lukecrayonz
Here's that question: When using math induction to prove that (n3 - n + 3) is divisible by 3 for all natural numbers. First, we will assume that (k3 - k + 3) is divisible by 3. Then, we would need to show that ____ is divisible by 3.
anonymous
  • anonymous
replace k by k+1 and do the algebra carefully
anonymous
  • anonymous
assume \(k^3-k+3\) is divisible by 3, prove \((k+1)^3-(k+1)+3\) is divisible by 3
Lukecrayonz
  • Lukecrayonz
http://screensnapr.com/v/LO65AT.png
anonymous
  • anonymous
careful when you expand
anonymous
  • anonymous
just what i wrote, third one
Lukecrayonz
  • Lukecrayonz
Thank you! Mathematical induction makes somewhat sense to me, but it's not 100% yet.
anonymous
  • anonymous
keep going!!

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