El termino general (formula) de las siguientes sucesiones :An : 2, 6, 24, 120?
El termino general (formula) de las siguientes sucesiones : An : 2, 6, 24, 120. An : 1 / 5, - 1 / 10, 1 / 15, - 1 / 20 . .
2Dalynalejandrarueda
En resumen
Caso 1 : 2 = 1×2 = 2! = (1 + 1)! 6 = 1×2×3 = 3! = (2 + 1)! 24 = 1×2×3×4 = 4! = (3 + 1)! 120 = 1×2×3×4×5 = 5! = (4 + 1)! En generalAn = (n + 1)!
Mejor respuesta
Alejandrarincon2
Caso 1 : 2 = 1×2 = 2!
= (1 + 1)!
6 = 1×2×3 = 3!
= (2 + 1)!
24 = 1×2×3×4 = 4!
= (3 + 1)!
120 = 1×2×3×4×5 = 5!
= (4 + 1)!
En generalAn = (n + 1)!
Caso 2 : 1 / 5 = ( - 1) ^ 0 / (5×1) = ( - 1) ^ (1 - 1) / (5×1) - 1 / 10 = ( - 1) ^ 1 / (5×2) = ( - 1) ^ (2 - 1) / (5×2)1 / 15 = ( - 1) ^ 2 / (5×3) = ( - 1) ^ (3 - 1) / (5×3) - 1 / 20 = ( - 1) ^ 2 / (5×4) = ( - 1) ^ (4 - 1) / (5×4)en generalAn = ( - 1) ^ (n - 1) / (5n).