#can someone help me with this: can someone help me make r the subject for this:
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glacial rivet
let $u=\sqrt[n]r$, idk how much this helps but just see how it works i guess
fossil waspBOT
doggo with da hat
sacred portal
Here it’s a geometric sum
set U =(1+r) here you’ll have (U^n-1)/(U-1)
Which is equal to the sum of U^k for k going from 0 to n-1
Which can be factored ( the roots of 1+U+…+U^n-1 are the (n-1)th roots of the unit with 1 excluded basically)
mighty swallow
what that does not make sense
mighty swallow
let $u=\sqrt[n]r$, idk how much this helps but just see how it works i guess
still not understanding
prisma wolf
You can't express r from here in general. It's possible to do that explicitly for n = 0, 1, 2, 3. With some difficulty n = 4 is also possible, and with a lot of difficulty n = 5 might be possible, but that's it.
mighty swallow
what about m - but fully simplified
prisma wolf
what about m - but fully simplified
Well, that's a lot easier - just divide both sides by ((1 + r)^n - 1)/r.
mighty swallow
no but fully simplfied
prisma wolf
How do you want to simplify it? It's already simplified.
mighty swallow
like remove the double fraction on the bottom