Question

The rule for a pattern is subtract 5. The first number The ones digits alternate between 0 and 5. is 71. Which choice is true about this pattern?

a. The ones digits alternate between 0 and 5.
b. The ones digits alternate between 6 and 5.
c. The ones digits alternate between 6 and 1.

Answer 1

The correct choice for the pattern where 5 is subtracted from the start number 71 resulting in ones digits alternating after each subtraction is option c, indicating that the ones digits alternate between 6 and 1.

Step-by-step explanation:

The question involves finding the pattern of ones digits when continuously subtracting 5 from the starting number 71. Since 1 subtracted by 5 results in a ones digit of 6, and 6 subtracted by 5 results in a ones digit of 1, the correct pattern involves alternating between 6 and 1. The options provided suggest different patterns for the ones digits after applying the rule of subtracting 5.

Let's apply the rule to the first few numbers:

1. Starting with 71, we subtract 5, yielding 66 (ones digit is 6).
2. Subtracting 5 again, we get 61 (ones digit is 1).
3. Another subtract 5 step results in 56 (ones digit is 6).
4. Finally, subtracting 5 from 56, we arrive at 51 (ones digit is 1).

Thus, the ones digits indeed alternate between 6 and 1. Therefore, the correct choice is option c. This pattern adheres to the provided guidelines concerning significant figures and rounding.