Question

Find the common difference of the arithmetic sequence.2, 1 8/9, 1 7/9,1 2/3, . . .

a.9b.-1/9c.-9d.1/9

Answer 1

For this case we have the following arithmetic sequence:
2, 1 8/9, 1 7 / 9,1 2/3,. . .
The common difference is given by the difference between two consecutive terms of the series.
Therefore, for this case we have:

`(1 (8)/(9)) - 2`
Rewriting:

`(1 (8)/(9)) - 2 = (1 + (8)/(9)) - 2`

`(1 (8)/(9)) - 2 = -1 + (8)/(9)`

`(1 (8)/(9)) - 2 = -(9)/(9) + (8)/(9)`

`(1 (8)/(9)) - 2 = (-9+8)/(9)`

`(1 (8)/(9)) - 2 = (-1)/(9)`
Answer:
The common difference of the arithmetic sequence is:
b.-1/9