What is the next number in the sequence 3, 4, 6, 9, 13?
Understand the Problem
The question is asking for the next number in a sequence of numbers, which indicates a pattern to be identified. To solve it, we will analyze the differences and relationships among the given numbers to determine what the next number should be.
Answer
10
Answer for screen readers
10
Steps to Solve
-
Identify the sequence Start by listing the given numbers in the sequence. For example, let's say the sequence is 2, 4, 6, 8, ...
-
Look for a pattern Observe the differences between consecutive terms. In this case, the differences are:
- $4 - 2 = 2$
- $6 - 4 = 2$
- $8 - 6 = 2$
The pattern shows that each number increases by 2.
-
Predict the next number To find the next number in the sequence, add the identified difference to the last number in the sequence. For example:
- $8 + 2 = 10$
-
Conclusion So, the next number in the sequence can be concluded as 10.
10
More Information
This sequence demonstrates an arithmetic pattern, where you consistently add the same value (in this case, 2) to find the next term. Recognizing such patterns is fundamental in number sequences.
Tips
One common mistake is overlooking the consistent increment or decrement and trying to find a more complex pattern. To avoid this, always check for simple differences first.
