imqwerty
  • imqwerty
find general formula of --> 1^x +2^x +3^x.........n^x
Mathematics
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.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions.

imqwerty
  • imqwerty
find general formula of --> 1^x +2^x +3^x.........n^x
Mathematics
schrodinger
  • schrodinger
See more answers at brainly.com
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.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

imqwerty
  • imqwerty
anonymous
  • anonymous
\[\sum_{a=1}^{n}a^{x}\]
imqwerty
  • imqwerty
@MayankD i want to find formula like we have- \[\sum_{n=1}^{n}n^2 =\frac{ n(n+1)(2n+1) }{ 6}\]

Looking for something else?

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

More answers

dan815
  • dan815
hey
imqwerty
  • imqwerty
hey :)
dan815
  • dan815
oaky so if u noticed this u can rewrite this in some slightly different notation like theyre all just sum of sums
dan815
  • dan815
|dw:1443861264405:dw|
dan815
  • dan815
|dw:1443861345422:dw|
dan815
  • dan815
you see how these sums of sums is working
dan815
  • dan815
now can we get a general form for sum of sums formula
imqwerty
  • imqwerty
why did u say its =0N^2 ?
dan815
  • dan815
it means the highest degree for our closed formula is of degree 2
imqwerty
  • imqwerty
ok :)
dan815
  • dan815
jsut simplifying the math for now, we can worry about the additional order terms later
anonymous
  • anonymous
Big-O is a function which defines an upper bound for another function
anonymous
  • anonymous
Asymptotically that is
dan815
  • dan815
now lets thinking if there is some way of computing sum of sum of sum of sums...
dan815
  • dan815
|dw:1443861532777:dw|
imqwerty
  • imqwerty
cx
anonymous
  • anonymous
I do not think you will get a simplistic answer like those you showed me for this variable exponential summation. The answer has to do with generalised harmonic numbers(courtesy wolfram alpha)
imqwerty
  • imqwerty
ye i saw that too :)
dan815
  • dan815
yeah xD i think this is why i stopped after i got the recursive equation to keep generating 1 degree higher
dan815
  • dan815
but hey i think there is still some ways
dan815
  • dan815
to get approximate solutions
imqwerty
  • imqwerty
http://prntscr.com/8n6roc
dan815
  • dan815
this stuff reminds me of this sigma function thing
dan815
  • dan815
which is used in arithmetic function stuff, and u do something called dirichlet convolutions
dan815
  • dan815
and i believe they are also formed out of the harmonic series
dan815
  • dan815
take a look at this if you are interested https://www.youtube.com/watch?v=X0XJ3TuMiFc
Zarkon
  • Zarkon
|dw:1443896724330:dw| this is not true

Looking for something else?

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