,

@ethelyn

To compute Fibonacci extensions using F#, you can use the following code snippet:

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// Define a function to calculate the Fibonacci sequence up to a given number of terms let rec fibonacci n = match n with | 0 -> 0 | 1 -> 1 | _ -> fibonacci (n - 1) + fibonacci (n - 2) // Define a function to calculate Fibonacci extensions using the Fibonacci sequence let fibonacciExtensions n = let fibs = [ for i in 0..n -> fibonacci i ] let exts = [ for i in 0..n -> (float i, float(fibs.[i]), float(fibs.[i + 1] - fibs.[i])) ] exts // Calculate Fibonacci extensions for a given number of terms let extensions = fibonacciExtensions 10 // Print the calculated Fibonacci extensions extensions |> List.iter (fun (n, fib, diff) -> printfn "Extension %d: %.0f (%.0f)" n fib diff) |

This code defines a function `fibonacciExtensions`

that calculates the Fibonacci sequence up to a given number of terms and then calculates the differences between consecutive Fibonacci numbers to determine the extensions. It then prints out the calculated Fibonacci extensions.

You can run this code in an F# REPL or editor to see the calculated Fibonacci extensions for a given number of terms.

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