Question

Escreva os quatro primeiros de cada sequência
An= 1 sobre n, com neN*

An= 2^n-¹, com neN*

Answer 1

a)

$A_1~=~\frac{1}{1}~~~\rightarrow~\boxed{A_1~=~1}\\\\\\A_2~=~\frac{1}{2}~~~\rightarrow~\boxed{A_2~=~\frac{1}{2}}\\\\\\A_3~=~\frac{1}{3}~~~\rightarrow~\boxed{A_3~=~\frac{1}{3}}\\\\\\A_4~=~\frac{1}{4}~~~\rightarrow~\boxed{A_2~=~\frac{1}{4}}$

b)

$A_1~=~2^{1-1}~=~2^0~~~\rightarrow~\boxed{A_1~=~1}\\\\\\A_2~=~2^{2-1}~=~2^1~~~\rightarrow~\boxed{A_2~=~2}\\\\\\A_3~=~2^{3-1}~=~2^2~~~\rightarrow~\boxed{A_3~=~4}\\\\\\A_4~=~2^{4-1}~=~2^3~~~\rightarrow~\boxed{A_4~=~8}$