What is the next pattern in the sequence? 5-10, 10-15, 20-25, 35-40, …60-6550-5545-5055-60

1. Break Down the Problem

To identify the next pattern in the sequence, we need to analyze the given pairs of numbers and their relationship. The provided pairs are:

• 5-10
• 10-15
• 20-25
• 35-40
• …60-65
• 50-55
• 45-50
• 55-60

2. Relevant Concepts

We can observe the differences between the numbers in each pair and look for a pattern. We will also look for an overall sequence in the first numbers of each pair and their corresponding second numbers.

3. Analysis and Detail

Examining the first numbers in each pair:

• 5, 10, 20, 35: The first number increases in a certain fashion.
• The second numbers appear to consistently be 5 units greater than the first number in each sequential pair.

If we analyze:

1. First Numbers:
   • 5 to 10: increase by 5
   • 10 to 20: increase by 10
   • 20 to 35: increase by 15
   • The increase between the first numbers is increasing by 5 each time.

Based on this increasing pattern, the next increase should be 20 (from 35):

• 35 + 20 = 55

2. Corresponding Second Numbers: All second numbers are obtained by adding 5 to the first number in each pair. Thus:

• 55 + 5 = 60

Considering the pairs observed, the next pair will be:

• 55-60

4. Verify and Summarize

We have deduced that:

• The sequence for the first numbers has a clear increasing pattern:
  • 5, 10, 20, 35, 55 (next number)
• And the second numbers are consistent with being 5 more than the first numbers.

Final Answer

The next pattern in the sequence is 55-60.