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GREYUIT [131]
1 year ago
10

Write an explicit formula for an, the nth term of the sequence 33, 30, 27

Mathematics
1 answer:
lawyer [7]1 year ago
8 0

Answer:

<u>aₙ = aₙ₋₁ - 3</u>

Step-by-step explanation:

Given :

First term : <u>33</u>

Common difference = 30 - 33 = <u>-3</u>

<u />

============================================================

Then the formula will be :

<u>aₙ = aₙ₋₁ - 3</u>

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2 tbsp. of peanut butter have 0.25 of total carbohydrate a day what fraction is that?
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Convert 3,124 meters to kilometers (1 kilometer =1000 meters)
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5. El valor de un producto bancario es de 15€. El lunes sube un 3%, el martes baja un 7% y el miércoles sube un 10%. ¿Con qué va
Alenkinab [10]

Answer:

El valor con el que comienza el jueves es 15.80535. El porcentaje de aumento desde el lunes es 5.369%

Step-by-step explanation:

Consideremos una cantidad x de un producto bancario, al multiplicar x por el factor (1+k%) implica un cambio de k% en el valor x. Si decimos que aumentó el valor de x, entonces k es positivo y si decimos que baja el valor de x, entonces tomamos k negativo.

Para comenzar, tenemos que x = 15. El valor con el que inicia el martes está dado por 15*(1+3%). Para calcular en cuánto comienza el miércoles, multiplicamos este valor por (1-7%). Es decir, 15*(1+3%)*(1-7%).

Finalmente, calculamos el valor inicial al jueves multiplicando por (1+10%).

Es decir,q ue el valor inicial el jueves es

15\cdot (1+3\%)\cdot(1-7\%)\cdot(1+10\%)= 15.80535

Para calcular el porcentaje de aumento con respecto al lunes, dividimos este valor por el costo inicial (15). POsteriormente, restamos 1 al resultado y lo multiplicamos por 100 (así nos da un porcentaje). Si el resultado final es positivo, es un aumento, y si es negativo es una disminución. En este caso el porcentaje es

(\frac{15.80535}{15}-1)\cdot 100 = 5.369\%

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