Identify Properties in 12, 24, 35, 48, 60: A Mathematical Exploration

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

12,24,35,48,60 12,24,35,48,60

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Is there any pattern? And if so, what is it?
00:03 Let's observe the change between elements
00:10 We can see that each time the jump between elements varies
00:15 Therefore there is no pattern, and this is the answer to the question

Step-by-step written solution

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1

Understand the problem

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

12,24,35,48,60 12,24,35,48,60

2

Step-by-step solution

To solve this problem, we'll inspect the differences between consecutive numbers:

First, calculate the differences:

  • 2412=12 24 - 12 = 12
  • 3524=11 35 - 24 = 11
  • 4835=13 48 - 35 = 13
  • 6048=12 60 - 48 = 12

The differences are 12,11,13, 12, 11, 13, and 12 12 .

We observe that there is no consistent pattern or common difference in these numbers, which implies the numbers do not form a regular arithmetic or geometric sequence.

Therefore, the property does not consistently exist across all numbers.

Consequently, the solution to this problem is that a common property does not exist.

3

Final Answer

Does not exist

Practice Quiz

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Is there a term-to-term rule for the sequence below?

18 , 22 , 26 , 30

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