Answer:
-4,-2,1,4,8,... it is neither arithmetic nor geometric
-1,3,7,11,15,... it is Arithmetic
36,12,4,4/3, 4/9,... it is Geometric
Step-by-step explanation:
-4,-2,1,4,8,...
When sequence is arithmetic then the difference between two terms should be same
When sequence is Geometric then the ratio of two consecutive terms should be same
-2-(-4) = 2
1-(-2) = 3
Difference is not same. LEts check the ratio
[tex]\frac{-2}{-4} =\frac{1}{2}[/tex]
[tex]\frac{1}{-2} =\frac{-1}{2}[/tex]
Ratio is also not same
So it is neither arithmetic nor geometric
-1,3,7,11,15,...
3 - (-1) = 4
7 - 3= 4
11-7 = 4
The difference between two terms are same so it is Arithmetic
36,12,4,4/3, 4/9,...
[tex]\frac{12}{36} =\frac{1}{3}[/tex]
[tex]\frac{4}{12} =\frac{1}{3}[/tex]
[tex]\frac{\frac{4}{3}}{4} =\frac{1}{3}[/tex]
We have constant ratio. So it is Geometric
