Question

2)Escreva os 10 primeiros termos das sequências definidas pelos termos gerais.
A)An=n+6,n € N*
B)An=3n-4,n € N*
C)An=n(n+5)/2;n € N

Answer 1

a) An = n + 6

A₁=1+6=7       A₆=6+6=12
A₂=2+6=8       A₇=7+6=13
A₃=3+6=9       A₈=8+6=14
A₄=4+6=10     A₉=9+6=15
A₅=5+6=11     A₁₀=10+6=16

Resposta: (7,8,9,10,11,12,13,14,15,16)

b) An = 3n - 4

A₁=3.1-4= -1       A₆=3.6-4=14
A₂=3.2-4=2         A₇=3.7-4=17
A₃=3.3-4=5         A₈=3.8-4=20
A₄=3.4-4=8       A₉=3.9-4=23
A₅=3.5-4=11       A₁₀=3.10-4=26

Resposta: (-1,2,5,8,11,14,17,20,23,26)

c) An = n(n+5)/2
          
A₁=1(1+5)/2=3                               A₆=6(6+5)/2= (36+30)/2 = 28
A₂=2(2+5)/2= (4+10)/2 = 7            A₇=7(7+5)/2= (49+35)/2 = 42
A₃=3(3+5)/5= (9+15)/2 = 12          A₈=8(8+5)/2= (64+40)/2 = 52
A₄=4.(4+5)/2= (16+20)/2 = 18       A₉=9(9+5)/2= (81+45)/2 = 63
A₅=5(5+5)/2= (25+25)/2= 25         A₁₀=10(10+5)/2 =(1000+500) = 750

Resposta: (3,7,12,18,25,28,42,52,63,750)