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(a+b)n(a+b)^n(a+b)n represents [     ] and its expansion contains n+1n+1n+1 terms.

A

0!=10!=10!=1.

B

It is generally infinite and requires a different theorem.

C

The binomial coefficient is (nr)=n!r!(n−r)!\binom{n}{r}=\frac{n!}{r!(n-r)!}(rn​)=r!(n−r)!n!​, with symmetry (nr)=(nn−r)\boxed{\binom{n}{r}=\binom{n}{n-r}}(rn​)=(n−rn​)​.

D

(a+b)n(a+b)^n(a+b)n represents nnn identical brackets and its expansion contains n+1n+1n+1 terms.

Card 1 of 21

1.3.1 Sequences and series Flashcards

  1. A Level
  2. /Maths
  3. /1.3.1 Sequences and series

21 flashcards on CCEA A Level Maths 1.3.1 Sequences and series: the key formulae, methods and definitions you need to recall for AS 1, AS 2, A2 1 and A2 2.

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