Answer:
33,11,−11,−33,-55,-77.
Step-by-step explanation:
For an AP [tex]a_1,a_2,a_3,....,a_n[/tex].
[tex]a_2-a_1=a_3-a_2[/tex]
In this given AP,
[tex]11-33=-11-11\\\\-22=-22=d[/tex]
It means the given sequence is an AP.
First term, a = 33
d = -22
Fifth term :
[tex]a_5=a+(n-1)d\\\\a_5=33+(5-1)\times (-22)\\\\a_5=-55[/tex]
Sixth term :
[tex]a_6=a+(n-1)d\\\\a_6=33+(6-1)\times (-22)\\\\a_6=-77[/tex]
So, the sequence is 33,11,−11,−33,-55,-77.