Question

Classify each sequence as arithmetic, geometric, or neither by dragging it into the correct box. Arithmetic Geometric Neither

-4,-2,1,4,8,... -1,3,7,11,15,... 36,12,4,4/3, 4/9,...

Answer 1

-4,-2,1,4,8 = neither

-1,3,7,11,15, = Arithmetic

36,12,4,4/3, 4/9 = Geometric

i took test

Answer 2

-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

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

`(-2)/(-4) =(1)/(2)`

`(1)/(-2) =(-1)/(2)`

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,...

`(12)/(36) =(1)/(3)`

`(4)/(12) =(1)/(3)`

`((4)/(3))/(4) =(1)/(3)`

We have constant ratio. So it is Geometric