Answer:
Every number in the pattern will have a 0 or a 5 in its ones place
Explanation:
Given
Rule: Divide by 2
![800, 400, 200, 100, [\ ], [\ ]](https://img.qammunity.org/2022/formulas/mathematics/high-school/bu23t5fq1j6pad0kewuwya23655377jnvx.png)
See attachment for complete question
Required
Which statement is true
First, we apply the rule to complete the blanks.
Divide by 2 implies that we divide the current element by 2, to get the next
So, the first blank becomes
![[\ ] = (100)/(2) = 50](https://img.qammunity.org/2022/formulas/mathematics/high-school/62613wospbrl2w1yclvlfdmmn0nw22154w.png)
The next is:
![[\ ] = (50)/(2) = 25](https://img.qammunity.org/2022/formulas/mathematics/high-school/iokt6erz7xibh3uf3msdb82j3gcfbgqon2.png)
So, we have:
![800, 400, 200, 100, 50, 25](https://img.qammunity.org/2022/formulas/mathematics/high-school/c7nux45qhc6913f5p9y6eoyu5icbz137l8.png)
Compare each option with the above dataset, we have:
(a) False; because 25 do not have 0 in its 1's space
(b) False; because 50 and 25 do not have 0 in their 10's space
(c) True; because each of the dataset either have 0 or 5 in their 1's space