Question

Make up a rule to help you find all the negative even numbers and do the same for negative odd numbers.

A) Subtract 2 from each subsequent even number
B) Add 2 to each subsequent even number
C) Subtract 1 from each subsequent odd number
D) Add 1 to each subsequent odd number

Answer 1

To generate a sequence of negative even numbers, subtract 2 from the current even number. To create a sequence of negative odd numbers, add 2 to the current odd number.

Step-by-step explanation:

To find all negative even numbers, you can start with any negative even number such as -2 and subtract 2 from it to get the next negative even number. So, if you start with -2 and subtract 2, you get -4, then subtracting 2 again gives you -6, and so on. This follows the rule that when two negative numbers add or when you subtract a positive number from a negative number, the result is also negative. Remember, even numbers are those which can be divided by 2 without a remainder.

For negative odd numbers, you can start with any negative odd number, such as -3, and add 2 to get the next negative odd number. If you start with -3 and add 2, you get -1 (notice that here we have two numbers with opposite signs, and we subtract the smaller number from the larger one and keep the sign of the larger number, which is negative in this case). Then, adding 2 to -1 yields -3, and adding another 2 yields -5, and this pattern continues.

Therefore, the rules would be:

• To find the next negative even number: subtract 2 from the current even number.
• To find the next negative odd number: add 2 to the current odd number.