Question
Encuentra 27 números consecutivos cuya suma sea 2025 .
Ask by Osborne Davies.
Mar 06,2025 03:23
UpStudy AI Solution
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Answer
Los 27 números consecutivos cuya suma es 2025 son: 62, 63, 64, ..., 88.
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Para encontrar 27 números consecutivos cuya suma sea 2025, primero necesitamos usar la fórmula de la suma de números consecutivos. La suma de 27 números consecutivos comenzando desde un número "n" se puede expresar como:
Suma = n + (n + 1) + (n + 2) + ... + (n + 26) = 27n + (0 + 1 + 2 + ... + 26) = 27n + 351
Dado que la suma es 2025, tenemos la ecuación:
27n + 351 = 2025
Restamos 351 de ambos lados:
27n = 2025 - 351 = 1674
Dividimos entre 27:
n = 1674 / 27 = 62
Así que los 27 números consecutivos son 62, 63, 64,…, 88. ¡Una secuencia perfecta llena de números alegres!
Además, para verificar el resultado, puedes sumar los números consecutivos. Esto es fácil si los dividas en grupos de pares que suman el mismo total, como (62+88), (63+87), y así sucesivamente. Cada par suma 150 y hay 13 pares, estableciendo que sí, ¡la suma es 2025!
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