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MathNet 2023-part-01 — 191 problems (EN–VI) Question 142

Math Olympiad Vault · MathNet 2023-part-01 — 191 problems (EN–VI)

Question 142

Let
$$
A_n = 1 \cdot 2 + 3 \cdot 4 + 5 \cdot 8 + \dots + (2n - 1) \cdot 2^n.
$$
Find $A_{2024}$.

(Nedyalka Dimitrova)