Geometric Temperature Cooling

Problem

Geometric cooling multiplies the temperature by alpha each step: T_k = T_0 * alpha^k.

Given the initial temperature, alpha in (0, 1), and k, return the temperature after k steps.

Hint

Each step applies the same multiplicative factor.

case 1

in: [100,0.9,10]

expected: 34.86784401000001

case 2

in: [1,0.5,1]

expected: 0.5

case 3

in: [10,0.99,100]

expected: 3.660323412732292

Starter codePython

def geometric_temperature_cooling(t0, alpha, k):
    # Your code here
    pass

3 test cases · run your code against them in the editor