Question

14. Tell whether the sequence 1 3 , 0, 1, −2 … is arithmetic, geometric, or neither. Find the next three terms of the sequence. Type your answer in the blank to the left. A. neither; 7, -20, 61 B. geometric;7, -20, 61 C. arithmetic; − 1 3 , 1 1 3 , 3 D. geometric;−3 1 3 , −5 5 9 , −9 7 27

Answer 1

1/3, 0,1,-2.....neither geometric or arithmetic

Answer 2

A. neither; 7, -20, 61

Explanation:

`(1)/(3) , 0 , 1, -2.....`

If it is arithmetic then the difference between two terms should be a constant

Lets find the difference between two terms

0 -
`0 - (1)/(3) = -(1)/(3)`

1 - 0 = 1

-2 -1 = -3

the difference is not a constant so it is not arithmetic.

If it is Geometric then the ratio between two terms should be same

`(0)/((1)/(3)) =0`

1 divide by 0 is undefined

-2 divide by 1 = -2

the ratio is also not same. So it is not Geometric

The sequence is neither arithmetic nor geometric

neither; 7, -20, 61