 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2024/paper-1/4/b/solution

The geometric series converges because the absolute value of its common ratio is below one. Its sum is

\frac{4}{1 - 1/3} = 6.

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