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3 years ago

{c(1) = 3/16 {c(n)=c(n−1)⋅4 what is the 3rd term in this sequence?

Mathematics

1 answer:

mote1985 [20]3 years ago

4 0

Answer:

$\large\boxed{c(3)=3}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}c(1)=\dfrac{3}{16}\\\\c(n)=c(n-1)\cdot 4\end{array}\right$

Put n = 2 and next n = 3 to the recursive formula:

$c(2)=c(2-1)\cdot4=c(1)\cdot4\to c(2)=\dfrac{3}{16}\cdot4=\dfrac{3}{4}\\\\c(3)=c(3-1)\cdot4=c(2)\cdot4\to c(3)=\dfrac{3}{4}\cdot4=3$

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3 years ago

Si un buzo se sumerge 4 metros luego sube 2 metros y finalmente desciende 5 metros más, ¿a qué profundidad se encuentra al final

wolverine [178]

Así, concluimos que la posición final del buzo será 7 metros bajo la superficie del agua.

<h3 /><h3>¿a qué profundidad se encuentra al final de su recorrido?</h3>

Primero, vamos a definir la superficie del agua como el 0 metros.

Sí sabemos que primero el buzo se sumerge 4 metros, entonces en este punto la posición del buzo es:

P = 0m - 4m = -4m

Luego el buzo sube 2 metros, entonces la nueva posición será:

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Finalmente, el buzo desciende otros 5 metros, entonces la posición final del buzo será:

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1 year ago

See pictures attached below. Will give Brainliest!

Phoenix [80]

Question 1 Answer:

Aunt 1 and Grandma 1 would fill gift bags.

Mom and Aunt 2 would make centerpieces.

You and Grandma 2 would blow up balloons.

Since you are pairing up to complete the tasks, these pairs each have the shortest times in their respective categories and therefore are the most logical pairing to complete tasks.

Question 2 Answer:

We use algebra and our previous pairings to determine the length of each task.

<u>Gifts Bags --> 6/7 hours</u>

x = time together

$\frac{1}{x}$ = rate of completion

Aunt 1 = $\frac{1}{1.5}$ Grandma 1 = $\frac{1}{2}$

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<u>Centerpieces --> 7/4 hours</u>

x = time together $\frac{1}{x}$ = rate of completion

Mom = $\frac{1}{3.5}$ Aunt 2 = $\frac{1}{3.5}$

$\frac{2}{7} + \frac{2}{7} = \frac{1}{x}$

$\frac{4}{7} = \frac{1}{x}$

$x = \frac{7}{4}$

<u>Balloons --> 15/16 hours</u>

x = time together $\frac{1}{x}$ = rate of completion

You = $\frac{1}{1.5}$ Grandma 2 = $\frac{1}{2.5}$

$\frac{2}{3} + \frac{2}{5} = \frac{1}{x}$

$\frac{16}{15} = \frac{1}{x}$

$x = \frac{15}{16}$

Shortest amount of time to complete all tasks is:

$\frac{6}{7} + \frac{7}{4} + \frac{15}{16} = \frac{397}{112}$ ≈ 3.54 hours

Converting hours to hours and minutes --> 3 hours 32 minutes

Therefore they must arrive by 5:28pm to complete the tasks in time to leave at 9:00pm.

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Step-by-step explanation:

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Read 2 more answers

{c(1) = 3/16 {c(n)=c(n−1)⋅4 ​ what is the 3rd term in this sequence?

{c(1) = 3/16 {c(n)=c(n−1)⋅4 what is the 3rd term in this sequence?