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liberstina [14]
3 years ago
7

Una nadadora entrenó todos los días durante 21días. El primer día nadó 15 minutos, y cada día nadaba 5 minutos más que el día an

terior. ¿Cuánto tiempo nadó el último día? ¿Y a lo largo de las tres semanas? Expresa los resultados en horas y minutos.
Mathematics
1 answer:
nadya68 [22]3 years ago
3 0

Responder:

1 hora 55 minutos; 22 horas 45 minutos

Explicación paso a paso:

Dado que:

Tiempo el primer día = 15 minutos

Minutos adicionales cada día siguiente = 5 minutos

Número total de días

Usando la fórmula del enésimo término de una progresión aritmética:

Tn = A + (n - 1) d

A = primer trimestre = 15

d = diferencia común = 5

n = enésimo término

Tiempo de nado el último día (n = 21)

T21 = 15 + (21 - 1) 5

T21 = 15 + 20 * 5

T21 = 15 + 100

T21 = 115 minutos

= 1 hora 55 minutos

SEGUNDO.)

Suma de minutos durante las 3 semanas

Suma de n términos:

Sn = n / 2 * (primer término + último término)

Primer término = 15

Último trimestre = a21 = 115 minutos

n = número de términos = 21

Por lo tanto,

Sn = 21/2 * (15 + 115)

Sn = 10,5 * (130)

Sn = 1365 minutos

= 22 horas 45 minutos

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