Question

Scrieti următoarele multimi cu ajutorul unei proprietati caracteristice :
b) B= { 1 , 6 , 11 , ......, 501 }
c) C={ 1,3,6,10,.....210}
d) D={1,2,6,24,120,720}
e) E={1,3,7,15,31,63}
f) F={0,1,8,81,1024}
g) G={1,2,4,8,16,32}
h) H={0,1,4,9,16,25,36}

Answer 1

B={1,6,11,..,501}

B={x |  x=5n+1, n∈N, n≤100}

C={1,3,6,10,...,210}

C={1+2+3+...+n  |  n∈N*, k≤20}

sau C={Sn | Sn=1+2+3+...+n,   n∈N*, k≤20}

D={1,2,6,24,120,720}

D={1•2•3•…•n | n∈N*, n≤6}

sau D={n! | n∈N*, n≤6}

E={1,3,7,15,31,63}

E={x | x=2^n  -1, n∈N*, n≤6}

F={0,1,8,81,1024}

F={n^(n+1) | n∈N, n≤4}

G={1,2,4,8,16,32}

G={2^n | n∈N, n≤5}

H ={0,1,4,9,16,25,36}

H={n^2 | n∈N, n≤6}