In the Fibonacci sequence, what comes after 21?
Understand the Problem
The question is asking for the next number in the Fibonacci sequence after 21. To solve this, we need to identify the Fibonacci sequence and find what follows 21 based on the pattern of the sequence.
Answer
The next number after 21 in the Fibonacci sequence is $34$.
Answer for screen readers
The next number in the Fibonacci sequence after 21 is $34$.
Steps to Solve
- Identify the Fibonacci Sequence
The Fibonacci sequence starts with 0 and 1. Each subsequent number is the sum of the two preceding ones. The beginning of the sequence is:
$$ 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ... $$
- Find the Number After 21
From the sequence, the number that directly follows 21 is found by adding 13 and 21:
$$ 21 + 13 = 34 $$
So, the next number in the sequence is 34.
- Conclude the Next Number
Thus, after identifying the relationship and finding the next number in the Fibonacci sequence, we conclude:
$$ \text{Next number after 21 is } 34 $$
The next number in the Fibonacci sequence after 21 is $34$.
More Information
The Fibonacci sequence is widely used in mathematics and computer science. It also appears in nature, such as in the arrangement of leaves, fruits, and flower petals.
Tips
Common mistakes include:
- Confusing the sequence with simple addition rather than recognizing it follows a specific pattern.
- Skipping the proper order of the sequence and incorrectly referencing earlier numbers.
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