Question

21 Considerando o conjunto
A = {x € R/x = 2n + 1, com neNen< 50},respon-
da às questões seguintes.
a) Quantos elementos de A são números irracionais?
b) Quantos elementos de A são números inteiros?

Answer 1

Resposta:

a) 0 elementos irracionais.

b) 25 (0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24)

Explicação passo-a-passo:

Answer 2

Resposta:

Explicação passo-a-passo:

x(n) = $\sqrt{2n+1}$

x(0) = $\sqrt{2*0+1}$ =  $\sqrt{1}$ = RACIONAL

x(1) = $\sqrt{2*1+1}$ =  $\sqrt{3}$ = Irracional

x(2) = $\sqrt{2*2+1}$ =  $\sqrt{5}$ = Irracional

x(3) = $\sqrt{2*3+1}$ =  $\sqrt{7}$ = Irracional

x(4) = $\sqrt{2*4+1}$ =  $\sqrt{9}$ = RACIONAL

x(5) = $\sqrt{2*5+1}$ =  $\sqrt{11}$ = Irracional

x(6) = $\sqrt{2*6+1}$ =  $\sqrt{13}$ = Irracional

x(7) = $\sqrt{2*7+1}$ =  $\sqrt{15}$ = Irracional

x(8) = $\sqrt{2*8+1}$ =  $\sqrt{17}$ = Irracional

x(9) = $\sqrt{2*9+1}$ =  $\sqrt{19}$ = Irracional

x(10) = $\sqrt{2*10+1}$ =  $\sqrt{21}$ = Irracional

x(11) = $\sqrt{2*11+1}$ =  $\sqrt{23}$ = Irracional

x(12) = $\sqrt{2*12+1}$ =  $\sqrt{25}$ = RACIONAL

x(13) = $\sqrt{2*13+1}$ =  $\sqrt{27}$ = Irracional

x(14) = $\sqrt{2*14+1}$ =  $\sqrt{29}$ = Irracional

x(15) = $\sqrt{2*15+1}$ =  $\sqrt{31}$ = Irracional

x(16) = $\sqrt{2*16+1}$ =  $\sqrt{33}$ = Irracional

x(17) = $\sqrt{2*17+1}$ =  $\sqrt{35}$ = Irracional

x(18) = $\sqrt{2*18+1}$ =  $\sqrt{37}$ = Irracional

v(19) = $\sqrt{2*19+1}$ =  $\sqrt{39}$ = Irracional

x(20) = $\sqrt{2*20+1}$ =  $\sqrt{41}$ = Irracional

x(21) = $\sqrt{2*21+1}$ =  $\sqrt{43}$ = Irracional

x(22) = $\sqrt{2*22+1}$ =  $\sqrt{45}$ = Irracional

x(23) = $\sqrt{2*23+1}$ =  $\sqrt{47}$ = Irracional

x(24) = $\sqrt{2*24+1}$ =  $\sqrt{49}$ = RACIONAL

x(25) = $\sqrt{2*25+1}$ =  $\sqrt{51}$ = Irracional

x(26) = $\sqrt{2*26+1}$ =  $\sqrt{53}$ = Irracional

x(27) = $\sqrt{2*27+1}$ =  $\sqrt{55}$ = Irracional

x(28) = $\sqrt{2*28+1}$ =  $\sqrt{57}$ = Irracional

x(29) = $\sqrt{2*29+1}$ =  $\sqrt{59}$ = Irracional

x(30) = $\sqrt{2*30+1}$ =  $\sqrt{61}$ = Irracional

x(31) = $\sqrt{2*31+1}$ =  $\sqrt{63}$ = Irracional

x(32) = $\sqrt{2*32+1}$ =  $\sqrt{65}$ = Irracional

x(33) = $\sqrt{2*33+1}$ =  $\sqrt{67}$ = Irracional

x(34) = $\sqrt{2*34+1}$ =  $\sqrt{69}$ = Irracional

x(35) = $\sqrt{2*35+1}$ =  $\sqrt{71}$ = Irracional

x(36) = $\sqrt{2*36+1}$ =  $\sqrt{73}$ = Irracional

x(37) = $\sqrt{2*37+1}$ =  $\sqrt{75}$ = Irracional

x(38) = $\sqrt{2*38+1}$ =  $\sqrt{77}$ = Irracional

x(39) = $\sqrt{2*39+1}$ =  $\sqrt{79}$ = Irracional

x(40) = $\sqrt{2*40+1}$ =  $\sqrt{81}$ = RACIONAL

x(41) = $\sqrt{2*41+1}$ =  $\sqrt{83}$ = Irracional

x(42) = $\sqrt{2*42+1}$ =  $\sqrt{85}$ = Irracional

x(43) = $\sqrt{2*43+1}$ =  $\sqrt{87}$ = Irracional

x(44) = $\sqrt{2*44+1}$ =  $\sqrt{89}$ = Irracional

x(45) = $\sqrt{2*45+1}$ =  $\sqrt{91}$ = Irracional

x(46) = $\sqrt{2*46+1}$ =  $\sqrt{93}$ = Irracional

x(47) = $\sqrt{2*47+1}$ =  $\sqrt{95}$ = Irracional

x(48) = $\sqrt{2*48+1}$ =  $\sqrt{97}$ = Irracional

x(49) = $\sqrt{2*49+1}$ =  $\sqrt{99}$ = Irracional

x(50) = $\sqrt{2*50+1}$ =  $\sqrt{101}$ = Irracional