Analyze the Number Sequence: Properties of 10, 8, 6, 4, 2

Question

Look at the following set of numbers and determine if there is any property, if so, what is it?

10,8,6,4,2 10,8,6,4,2

Video Solution

Solution Steps

00:11 Do you see any pattern? Let's find out!
00:15 Observe how each term changes. What do you notice?
00:22 Yes, there's a pattern! Each time, we subtract 2.
00:29 And that's the solution to our question!

Step-by-Step Solution

To solve this problem, we need to analyze whether the set of numbers 10,8,6,4,2 10, 8, 6, 4, 2 has a pattern or property.

  • Step 1: Observe the difference between consecutive terms:
    810=2 8 - 10 = -2
    68=2 6 - 8 = -2
    46=2 4 - 6 = -2
    24=2 2 - 4 = -2
  • Step 2: Analyze the result.
    We see that the difference between consecutive terms is consistently 2-2.

This indicates that the terms form an arithmetic sequence with a common difference of 2-2.

Hence, the property of this set of numbers is that it is an arithmetic sequence with a common difference of 2 -2 .

By comparing the possible answer choices, we confirm that the correct choice is number 1: 2 -2 .

Answer

2 -2