Question

Fie multimile A={x|x=2n, n€N* si B={x|x=2n+1, n€N}. a) Scrieti cate 3 elemente din fiecare multime. b) Calculati AUB.

Answer 1

x=2n, n€N* => n=1,2,3,4,5... ᢁ

n=1 => x= 2•1=2
n=2=> x= 2•2=4
n=3=> x= 2•3=6
n=4=> x= 2•4=8
etc

=> A={2,4,6,8... 2n}

x=2n-1, n€N => n=0,1,2,3,4,5...ᢁ

n=0 => x= -1 (ceea ce este incorect) ❌
n=1 => x=2• 1-1=1
n=2 => x=2•2-1=3
n=3 => x=2•3-1=5
n=4 => x=2•4-1=7

=> B={1,3,5,...,2n-1}

AuB={1,2,3,4,5,6,7,8...ᢁ}


sper c-am fost de ajutor! ❤