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Alex777 [14]
3 years ago
13

El jardinero de un parque planta flores siguiendo cierto patrón. En la primera fila planta 4 flores, en la segunda 7 y así suces

ivamente, tal como se muestra a continuación A)¿Cuántas flores habrá en la fila 4? B)¿Cuántas flores tendrá la fila 7? C)Si en una fila hay 34 flores ¿a qué fila pertenece?
Mathematics
1 answer:
nevsk [136]3 years ago
6 0

Answer:

a) Para i = 4, hay 13 flores en la fila 4.

b) Para i = 7, hay 22 flores en la fila 7.

c) La fila 11 tiene 34 flores.

Step-by-step explanation:

De acuerdo con el enunciado, cada fila tiene tres flores más que la fila inmediatamente anterior, significando que se puede determinar el número de flores de cada fila mediante una serie aritmética:

n = 4+3\cdot (i-1), i \ge 1 (1)

Donde:

i - Índice de la fila de flores.

n - Número de flores del índice de la fila de flores.

a) Para i = 4, hay 13 flores en la fila 4.

b) Para i = 7, hay 22 flores en la fila 7.

c) Si n = 34, entonces el índice de la fila es:

i=1+\frac{n-4}{3}

i = 11

La fila 11 tiene 34 flores.

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