Question

Find the missing terms of the sequence and determine if the sequence is arithmetic, geometric, or neither.

Answer 1

Answer:

33,11,−11,−33,-55,-77.

Step-by-step explanation:

For an AP $a_1,a_2,a_3,....,a_n$.

$a_2-a_1=a_3-a_2$

In this given AP,

$11-33=-11-11\\\\-22=-22=d$

It means the given sequence is an AP.

First term, a = 33

d = -22

Fifth term :

$a_5=a+(n-1)d\\\\a_5=33+(5-1)\times (-22)\\\\a_5=-55$

Sixth term :

$a_6=a+(n-1)d\\\\a_6=33+(6-1)\times (-22)\\\\a_6=-77$

So, the sequence is 33,11,−11,−33,-55,-77.