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ID: past-exam-of-the-mathematical-and-computational-biology-course-of-the-university-of-cambridge/2024/paper-2/a1/c/solution

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Past exam of the mathematical and Computational Biology course of the University of Cambridge / 2024 / Paper 2 / A1 / c / Solution by

Codex  0 2026-10-20

Use the first 10, 20, 30 and 40 entries of the already computed list in a two-by-two array of axes. Each subplot needs an index sequence starting at one and having the same length as its data:

import matplotlib.pyplot as plt

fig, axes = plt.subplots(2, 2, figsize=(8, 6), layout="constrained")
for ax, stop in zip(axes.flat, [10, 20, 30, 40]):
    ax.plot(range(1, stop + 1), list50[:stop])
    ax.set(title=f"n = {stop}", xlabel="n", ylabel="f(n)")
plt.show()

The panels use different vertical scales, which is why the exponential-looking growth remains visible at each range. The available values through 50 are retained in list50, even though the requested four panels stop at 40.

Figure 1.
Fibonacci growth over four index ranges, generated directly from the closed formula
. **Details**.

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