Предмет: Математика, автор: Angelina598

При разложении выражения ( х−у )^n
в бином Ньютона, получены
коэффициенты: 1,4,6,4,1 , чему равно n?
1. 3 2. 4 3. 6

Ответы

Автор ответа: KRISTINAweb

1

Ответ:

4

Пошаговое объяснение:

$(a+b)^n=C_n^0a^nb^0+C_n^1a^{n-1}b^1+C_n^2a^{n-2}b^2+...+C_n^na^0b^n$

Можно посмотреть на второй коэффициент $C_n^1=n$ . Он и показывает степень.

В примере второй коэффициент 1,4,6,4, 1 равен 4. Степень n=4.

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