Lambert Pearson
04/02/2024 · High School
2) Demostrar para \( n>1,2^{3}+4^{3}+. .+(2 n)^{3}=2 n^{2}(n+1)^{2} \)
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Para demostrar \( 2^3 + 4^3 + \ldots + (2n)^3 = 2n^2(n+1)^2 \) para \( n > 1 \), se usa el principio de inducción matemática. Se comprueba la base para \( n = 2 \) y se demuestra el paso inductivo, lo que concluye que la afirmación es cierta para todo \( n > 1 \).
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