Definición y Demostración: Coeficiente Binomial Central

Tutorial on the central binomial coefficient. Immediately after, we will demonstrate that the central binomial coefficient is equal to the sum, from k=0 to n, of n divided by k squared. #mathematicalproof #binomialcoefficient #pascal'striangle #binomialtheorem #mathA #ipadpro #ipadgoodnotes For more videos, subscribe to:    / @mate_a   Follow me on:   / mate-a-280220872612223   To support me, subscribe to my channel and like this video. Thank you. The following video defines the central binomial coefficient and proves the proposition: ∑_{k=0}^{n}{\binom{n}{k}}^2=\binom{2n}{n} This proposition states that the sum of the squares of the nth row of Pascal's triangle is equal to the central binomial coefficient of the 2nth row of this triangle. Important prior knowledge: Summation Binomial coefficient The binomial theorem (Newton's binomial theorem) Pascal's triangle Vandermonde's identity The symmetry identity (binomial coefficient) This video was created using an iPad Pro and Goodnotes