Question

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

33,11,−11,−33,__,__

Answer 1

33,11,−11,−33,-55,-77.

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)* (-22)\\\\a_5=-55`

Sixth term :

`a_6=a+(n-1)d\\\\a_6=33+(6-1)* (-22)\\\\a_6=-77`

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