We have the following remark
-81/-54= -54/-36 = -36/ -24=...= 1.5
the sequence is geometric sequence
the common ratio of the sequence is 1.5
the sum of the five terms of the sequence is
S5= a[1- (1.5)^5 / 1-1.5], a first term,
S5= -42*6.5= - 276
As a fraction is would be 18/5
As a mixed number it would be 3 3/5
The answer is


Logarithm both sides of the equation:

Since:

, then:

Back to our equation:
Check first one:
2(-2)- 3(1) < 1
-4 -3 < 1
-7 < 1
This is true, let's check others, just to be sure
Check second one:
2(1/2) - 3(0) < 1
1 - 0 < 1
This is false
Check third one :
2(2)- 3(1) < 1
4- 3 < 1
This is false
So answer is (-2,1)