How to Find Phi Value in Calculator?

Finding the exact phi (φ), or golden ratio, value on a calculator often involves a specific calculation rather than a dedicated function. Here's how:

As demonstrated in the reference video, one way to approximate phi (φ) using a calculator involves iterative calculations:

1. Start with the number 1.
2. Divide 1 by the current number.
3. Add 1 to the result.
4. Repeat steps 2 and 3.

This iterative process will converge towards the golden ratio, approximately 1.618.

Alternatively, you can directly calculate it using the formula:

φ = (1 + √5) / 2

Here's how to do it on most calculators:

1. Find the square root of 5 (√5).
2. Add 1 to the result.
3. Divide the result by 2.

Example:

1. √5 ≈ 2.236
2. 2.236 + 1 = 3.236
3. 3.236 / 2 = 1.618

Therefore, φ ≈ 1.618

While some advanced calculators might have a built-in constant for phi, the above methods are universally applicable.