Explain the Fibonacci series and its generation.
A mathematical and algorithmic question about a famous sequence.
Why Interviewers Ask This
The Fibonacci series is a classic programming problem used to test recursion, iteration, and understanding of sequences. It is a standard interview question for entry-level engineers.
How to Answer This Question
Define the series (0, 1, 1, 2, 3, 5...). Explain the recursive formula F(n) = F(n-1) + F(n-2). Discuss both iterative and recursive approaches. Mention time complexity differences.
Key Points to Cover
- Sequence definition
- Recursive formula
- Iterative vs Recursive
- Complexity analysis
- Common applications
Sample Answer
The Fibonacci series is a sequence where each number is the sum of the two preceding ones, starting from 0 and 1. To generate it, you can use an iterative loop for efficiency or recursion for simplicity. The iterative ap…
Common Mistakes to Avoid
- Off-by-one errors
- Using inefficient recursion
- Incorrect base cases
- Failing to optimize space
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