Sum of n 4
Summation, Expansion, Equivalent Value, Comments. n sum k k=1, = 1 + 2 + 3 + 4 + .. + n, = (n2 + n) / 2 = (1/2)n2 + (1/2)n, sum of 1st n integers. n sum k 2 ,for the nth triangular number or, equivalently, the sum of the first n positive integers. This result, substituted into the second equation, ... ,and there is a geometric proof involving two copies of a 2D representation of (1+2+⋯+n) that form a n×(n+1)-rectangle. Similarly, n∑k= ... ,Your sum is equal to. 14+242+343+444+⋯+n4n+⋯. Call this sum S. Now subtract from S the sum 14+142+143+⋯. If we do it in the obvious way, term by term, ... ,Summation, Expansion, Equivalent Value, Comments. n sum k k=1, = 1 + 2 + 3 + 4 + .. + n, = (n2 + n) / 2 = (1/2)n2 + (1/2)n, sum of 1st n integers. n sum k 2 ,Here is one way of doing it. The sum of the first N kth powers is a polynomial in N of order k + 1, so the sum of the first N 4th powers is a polynomial in ... ,由 EW Weisstein 著作 · 2002 · 被引用 8 次 — S_p(n)=sum_(k=1)^nk^p. (2). General power sums arise commonly in statistics. For example, k-statistics are ... ,Faulhaber's formula, which is derived below, provides a generalized formula to compute these sums for any value of a . a. a. Manipulations of these sums ...
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 Sum of n 4 相關參考資料
Power Summations - Math.com
Summation, Expansion, Equivalent Value, Comments. n sum k k=1, = 1 + 2 + 3 + 4 + .. + n, = (n2 + n) / 2 = (1/2)n2 + (1/2)n, sum of 1st n integers. n sum k 2 http://www.math.com Sums of Powers of Positive Integers - Pierre de Fermat
for the nth triangular number or, equivalently, the sum of the first n positive integers. This result, substituted into the second equation, ... https://www.maa.org Geometric interpretation for sum of fourth powers
and there is a geometric proof involving two copies of a 2D representation of (1+2+⋯+n) that form a n×(n+1)-rectangle. Similarly, n∑k= ... https://math.stackexchange.com Calculate the sum of the infinite series $sum_n=0}^infty}
Your sum is equal to. 14+242+343+444+⋯+n4n+⋯. Call this sum S. Now subtract from S the sum 14+142+143+⋯. If we do it in the obvious way, term by term, ... https://math.stackexchange.com Math2.org Math Tables: Power Summations
Summation, Expansion, Equivalent Value, Comments. n sum k k=1, = 1 + 2 + 3 + 4 + .. + n, = (n2 + n) / 2 = (1/2)n2 + (1/2)n, sum of 1st n integers. n sum k 2 http://math2.org What is the formula for the sum of the first N 4th powers? - Quora
Here is one way of doing it. The sum of the first N kth powers is a polynomial in N of order k + 1, so the sum of the first N 4th powers is a polynomial in ... https://www.quora.com Power Sum -- from Wolfram MathWorld
由 EW Weisstein 著作 · 2002 · 被引用 8 次 — S_p(n)=sum_(k=1)^nk^p. (2). General power sums arise commonly in statistics. For example, k-statistics are ... https://mathworld.wolfram.com Sum of n, n², or n³ | Brilliant Math & Science Wiki
Faulhaber's formula, which is derived below, provides a generalized formula to compute these sums for any value of a . a. a. Manipulations of these sums ... https://brilliant.org |