David tiene que escribir una funcion explicita para la sucesion aritmetica: 10,13,16, 19...

Mathematics

1 answer:

Alexxandr [17]1 year ago

5 0

El dominio de la sucesión aritmética generada por s(n) = 7 + 3 · n es n ≥ 1.

<h3>¿Cuál es el dominio de la sucesión aritmética?</h3>

En este problema tenemos que David derivó una formula para generar los elementos de la sucesión aritmética s(n) = 7 + 3 · n, cuyo dominio es el conjunto de elementos de números naturales n tal que los elementos de la sucesión aritmética son generados.

Se puede apreciar que el dominio está constituido por un conjunto discreto y semi-infinito, esto es, un conjunto de números naturales que tiene un valor mínimo, más no un valor máximo. Es preciso determinar el valor más pequeño de n tal que s(n) = 10:

7 + 3 · n = 10

3 · n = 10 - 7

3 · n = 3

n = 1

En consecuencia, la expresión dada tiene un dominio consistente en todo número natural n tal que n ≥ 1.

Para aprender más sobre sucesiones aritméticas: brainly.com/question/24613053

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