anonymous
  • anonymous
Whats the difference between diverge and converge???
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
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.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
hba
  • hba
go to the physics portion
TuringTest
  • TuringTest
what? no it's a math Q
anonymous
  • anonymous
but its in algebra 2

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

hba
  • hba
k sorry
anonymous
  • anonymous
Diverge means separate, converge means meet.
TuringTest
  • TuringTest
converge is to "settle down" on a finite falue
TuringTest
  • TuringTest
value*
TuringTest
  • TuringTest
oh jeez, an algebra2 definition of "diverge" ? I kind of would like to know the context
hba
  • hba
@pratu043 it is maths not physics
anonymous
  • anonymous
heres what the question is 1/5+1/25+1/125+1/625... Does the infinite geometric series converge or diverge?explain
anonymous
  • anonymous
Does it go to infinity?
anonymous
  • anonymous
Or does it go to a specific value?
TuringTest
  • TuringTest
or does it settle on no value at all and oscillate forever?
anonymous
  • anonymous
Algebra 2 is an interesting time to learn about this. You should at least see the formal definition, so here's that (in my words): A sequence \(a_n\) converges to a limit \(L\) iff for any given \(\epsilon\), there exists an \(N\) such that \(n>N\implies |a_n-L|<\epsilon\). That's the formal one. In english, that means, as you go on to infinity, the sequence gets as close as you like to a given value. Basically, like others have said, the sequence "settles down" to a value. Diverges simply means "does not converge."
anonymous
  • anonymous
it goes infinitly
anonymous
  • anonymous
no it does not.....the reason being that the denominator is getting bigger which means that the overall number is getting smaller.
TuringTest
  • TuringTest
@nbouscal I wish they taught me that in algebra2, but I don't think so...
anonymous
  • anonymous
If it went to infinity then the sequence will increase exponentially
anonymous
  • anonymous
Oh no, I'm sure they don't. They would never do something crazy like teach real mathematics to secondary school students :P
anonymous
  • anonymous
Not saying I know pedagogy better than they do, but couldn't they at least flash it on the board? One slide of a powerpoint? No? *sigh* oh well.
TuringTest
  • TuringTest
exactly^ @petegutz do you have a specific formula to use? there are a few...
anonymous
  • anonymous
no all that it gave me was what i put up
TuringTest
  • TuringTest
\[\sum_{n=1}^\infty ar^{n-1}=\sum_{n=0}^\infty ar^n=\frac a{1-r}\]is maybe a formula you can use?
TuringTest
  • TuringTest
the above is only true for \(|r|<1\), otherwise the series diverges so you must identify }r| in your series
TuringTest
  • TuringTest
identify |r| *
anonymous
  • anonymous
is it 1/5?
anonymous
  • anonymous
Yes, r=1/5
anonymous
  • anonymous
so it converges and it has a sum right?
anonymous
  • anonymous
Yes
anonymous
  • anonymous
Thanks!

Looking for something else?

Not the answer you are looking for? Search for more explanations.