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Ньютон биномы: дұрыс-қате

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Биномдық теорема туралы тез жауап беріңіз.

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Kazakhstan

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Ньютон биномы: дұрыс-қате
 

Ньютон биномы: дұрыс-қатеOnline version

Биномдық теорема туралы тез жауап беріңіз.

by Bako
1

Ньютон биномы тек екі айнымалыға ғана айналмайды; үш айнымалыға да кеңейтіледі.

2

Ньютон биномы кеңейтуі тек n-нің оң емес санына қолданылады.

3

Термен саны n+1-ке тең.

4

Егер a=1 және b=1 болса, (a+b)^n = 2^n болады.

5

Соңғы термені а^n болады деген түсінік дұрыс емес; соңғы термені b^n.

6

C(n,k) коэффициенттері әрқашан бүтін емес сан болады.

7

Биномдық коэффициенттері C(n,k) = n! / (k!(n−k)!) арқылы есептеледі.

8

Түсініктемеде термендердегі коэффициенттер к-ге тәуелді емес болуы мүмкін.

9

Ньютон биномы формуласы (a+b)^n = Σ_{k=0}^n C(n,k) a^{n-k} b^k теңдеуіне негізделеді.

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