Conjecture & Proof - the Geometric Parabola
- Author:
- DavidA
- Topic:
- Parabola
Conjecture & Proof - the Geometric Parabola.
Here we generate a quadratic expression from 3 terms of a geometric sequence.
Choose the first term and the ratio (multiplier) for the sequence.
Construct the quadratic
Hint
For the proof of this you might want to try to generalise the geometric terms.
Using a first term and a ratio giving three terms
Now consider the root of the quadratic