What is the 100th Fibonacci Number?

The 100th Fibonacci number is 354224848179261915075.

The Fibonacci sequence starts with 0 and 1, and each subsequent number is the sum of the two preceding ones. So, it goes like this: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so on. To find the 100th number in the sequence, you can continue this pattern until you reach it or use a formula to calculate it more quickly.

One efficient way to compute Fibonacci numbers is by using Binet’s Formula, which allows you to find Fibonacci numbers directly using the golden ratio. However, for most practical purposes and especially when working with computers, iterative or recursive algorithms in programming languages are commonly used to generate Fibonacci numbers, and for the 100th Fibonacci number, you typically use an iterative approach for better performance.

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