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

Question

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

$12,24,35,48,60$

Video Solution

Solution Steps

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 Solution

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

First, calculate the differences:

$24 - 12 = 12$
$35 - 24 = 11$
$48 - 35 = 13$
$60 - 48 = 12$

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

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.

Answer

Does not exist

Related Subjects

Recurrence Relations Sequences