Question

7 - Escreva a lei de formação de cada sequência a seguir
a) [2, 4, 6, 8...]
b) [1, 4, 9, 16...]​

Answer 1

a)

$\{a_1,a_2,a_3,a_4,\dots\}\equiv\{2,4,6,8,\dots\}$

$a_1=2(1)=2$

$a_2=2(2)=4$

$a_3=2(3)=6$

$a_4=2(4)=8$

$\vdots$

$\boxed{a_n=2n}$

b)

$\{a_1,a_2,a_3,a_4,\dots\}\equiv\{1,4,9,16,\dots\}$

$a_1=1^2=1$

$a_2=2^2=4$

$a_3=3^2=9$

$a_4=4^2=16$

$\vdots$

$\boxed{a_n=n^2}$