Which number should come next in the series? 1 - 1 - 2 - 3 - 5 - 8 - 13
Understand the Problem
The question is asking which number follows in the numerical series provided, indicating a pattern or sequence that needs to be identified.
Answer
$21$
Answer for screen readers
The next number in the series is $21$.
Steps to Solve
-
Identify the Pattern Examine the sequence: $1, 1, 2, 3, 5, 8, 13$.
-
Observe the Fibonacci Sequence Notice that each number after the first two is the sum of the two preceding numbers:
- $1 + 1 = 2$
- $1 + 2 = 3$
- $2 + 3 = 5$
- $3 + 5 = 8$
- $5 + 8 = 13$
- Find the Next Number To find the next number in the series, add the last two numbers: $$ 8 + 13 = 21 $$
The next number in the series is $21$.
More Information
This sequence represents the Fibonacci series, where each number is the sum of the two preceding numbers. The series starts with two ones, so the next numbers are derived accordingly.
Tips
Some common mistakes include:
- Failing to recognize the Fibonacci pattern because they might try other arithmetic operations.
- Miscalculating the addition of the last two numbers.
AI-generated content may contain errors. Please verify critical information
Thank you for voting!
