Answer:
[tex]U_{n+1}=U_{n}-4[/tex]
Next term = -16
Step-by-step explanation:
[tex]\text{let} \ \left( U_{n}\right) \text{be the sequence which we are looking for}[/tex]
0-4 = -4
(-4)-0 = -4
(-8)-(-4) = -4
(-12)-(-8) = -4
It’s clear that Un is an arithmetic sequence of common difference r = -4
Then
[tex]U_{n+1}=U_{n}-4[/tex]
Next term :
[tex]U_{6}=U_{5}-4 = -12-4=-16[/tex]
