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Una empresa debe aumentar el salario mensual de un empleado de
$200 a
$410 en 15 meses. La cantidad que debe aumentar mensualmente es fija. Halle dicha cantidad utilizando una sucesión aritmética.

$7$ . Una empresa debe aumentar el salario mensual de un empleado de $\$ 200$ a $\$ 410$ en $15$ meses. La cantidad que debe aumentar mensualmente es fija. Halle dicha cantidad utilizando una sucesión aritmética.

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Evaluate logarithms

Full solution

Q.

7

. Una empresa debe aumentar el salario mensual de un empleado de

\$ 200

a

\$ 410

en

15

meses. La cantidad que debe aumentar mensualmente es fija. Halle dicha cantidad utilizando una sucesión aritmética.

Identify Salaries: Primero, identificamos los valores inicial y final del salario. Salario inicial (a) = $\$200$ Salario final (l) = $\$410$
Arithmetic Sequence Formula: La fórmula de la sucesión aritmética es: $l = a + (n-1)d$ $\newline$ Donde: $\newline$ $l$ = término final $\newline$ $a$ = término inicial $\newline$ $n$ = número de términos $\newline$ $d$ = diferencia común (aumento mensual)
Substitute Values: Sustituimos los valores en la fórmula: $410 = 200 + (15-1)d$
Simplify Equation: Simplificamos la ecuación: $410 = 200 + 14d$
Isolate Variable: Restamos $200$ de ambos lados: $410 - 200 = 14d$ $210 = 14d$
Calculate Final Value: Dividimos ambos lados por $14$ para encontrar $d$ : $d = \frac{210}{14}$ $d = 15$

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