Question

Encontre os 5 primeiros termos da sequência F(n) = (-1)^2n.(n+1)/n^3

Answer 1

F(n) = (-1)^2n.(n+1)/n^3

f(1) = (-1)^2.(2)/1 ==>(-1)^4 ==> 1

F(2) = (-1)^2.2.(2+1)/2^3 ==> (-1)^4(3)/8 ==> (-1)^12/8

F(3) = (-1)^2.3.(3+1)/3^3 ==> (-1)^6(4)/27 ==> (-1)^24/27

F(4) = (-1)^2.4.(4+1)/4^3 ==> (-1)^8(5)/64 ==> (-1)^40/64

F(2) = (-1)^2.5.(5+1)/5^3 ==> (-1)^10(6)/125 ==> (-1)^60/125


( 1,1,1,1,1,1,...........) constante  de razão 0