Question

53 questão de Número Binomial s={-1,4}

Answer 1

Relação de Stifel

$\left(\begin{array}{ccc}n\\p\\\end{array}\right)+ \left(\begin{array}{ccc}n\\p+1\\\end{array}\right)= \left(\begin{array}{ccc}n+1\\p+1\\\end{array}\right) \\ \\ \left(\begin{array}{ccc}8\\6\\\end{array}\right)+ \left(\begin{array}{ccc}8\\7\\\end{array}\right) = \left(\begin{array}{ccc}9\\x+3\\\end{array}\right) \\ \\ \left(\begin{array}{ccc}9\\7\\\end{array}\right) = \left(\begin{array}{ccc}9\\x+3\\\end{array}\right)$
x + 3= 7 => x = 7 - 3 => x = 4 ou 7 + x + 3 = 9 => x = 9 - 10 => x = -1