Analyze the Sequence 13, 10, 7, 4, 1: Identifying Number Patterns

Question

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

13,10,7,4,1 13,10,7,4,1

Video Solution

Solution Steps

00:00 Is there any pattern? And if so, what is it?
00:03 Let's observe the change between terms
00:08 We can see that the pattern is constant and it's adding 3
00:14 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we will determine if the given sequence of numbers follows a particular pattern or property:

First, we list the sequence provided: 13,10,7,4,113, 10, 7, 4, 1.

Since an arithmetic sequence is one of the simplest patterns, we will check for a common difference, which involves subtracting each term from the next:

  • Calculate the difference between the first and second terms: 10−13=−310 - 13 = -3.
  • Calculate the difference between the second and third terms: 7−10=−37 - 10 = -3.
  • Calculate the difference between the third and fourth terms: 4−7=−34 - 7 = -3.
  • Calculate the difference between the fourth and fifth terms: 1−4=−31 - 4 = -3.

We observe that the difference between each consecutive pair of numbers is consistently −3-3. This implies that the sequence has a common difference of −3-3, and therefore, it is an arithmetic sequence.

In conclusion, the identified property for the sequence is that it is an arithmetic sequence with a common difference of −3 -3 .

Therefore, the solution to the problem is −3 -3 .

Answer

−3 -3

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