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1.4.1 Sequences and Series - The Binomial Theorem

Card 1 of 23

Evaluate 0!0!0!.

A

216216216

B

The term containing xrx^rxr in (a+bx)n(a+bx)^n(a+bx)n is (nr)an−rbrxr\boxed{\displaystyle \binom{n}{r}a^{n-r}b^r x^r}(rn​)an−rbrxr​.

C

For positive integer nnn, the binomial theorem is (a+b)n=∑r=0n(nr)an−rbr\boxed{\displaystyle (a+b)^n=\sum_{r=0}^{n}\binom{n}{r}a^{n-r}b^r}(a+b)n=r=0∑n​(rn​)an−rbr​.

D

111

Card 1 of 23

1.4.1 Sequences and Series - The Binomial Theorem Flashcards

  1. A Level
  2. /Maths
  3. /1.4.1 Sequences and Series - The Binomial Theorem

23 flashcards on WJEC A Level Maths 1.4.1 Sequences and Series - The Binomial Theorem: the key formulae, methods and definitions you need to recall for AS Unit 1, AS Unit 2, A2 Unit 3 and A2 Unit 4.

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