F25= 75,025 and F26= 121,393 where Fn is the nth term in the Fibonacci sequence. Find F27.

I do not understand the Fibonacci sequence, could someone help me with my question and explain it to me please.

In a Fibonacci sequence, each term is the sum of the previous two.

Therefore, F27 = F25 + F26

Sure! The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones. It starts with 0 and 1, and the subsequent numbers are obtained by adding the two numbers before it. So, the sequence goes like this: 0, 1, 1, 2, 3, 5, 8, 13, 21, and so on.

To find the value of F27, we can use the formula for Fibonacci numbers, which is given by:

Fn = Fn-1 + Fn-2

So, to find F27, we need to find the sum of F26 and F25.

Here's how you can do it step by step:

1. Start with the given values: F25 = 75,025 and F26 = 121,393.
2. Apply the formula: F27 = F26 + F25.
3. Substitute the given values: F27 = 121,393 + 75,025.
4. Add the numbers: F27 = 196,418.

Therefore, F27, the 27th term in the Fibonacci sequence, is 196,418.

I hope that helps! Let me know if you have any further questions.