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3 years ago

If the reclusive rule for a geometric sequence is a1 = 6 an = 2an-1.

1 answer:

3 0

$\text{The explicit rule of geometric sequence}\\\\a_n=a_1 r^{n-1}\\------------------------------\\\text{We have the recursive form}\ a_1=6,\ a_n=2\cdot a_{n-1}.\\\\\text{Therefore}\ r=2.\ \text{Substitute:}\\\\a_n=6\cdot2^{n-1}=6\cdot2^n\cdot2^{-1}=6\cdot2^n\cdot\dfrac{1}{2}=\boxed{3\cdot2^n}$

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Rebecca and Tracy are cutting strips of fabric to make a quilt. Each strip of fabric needs to be 1/3 of a foot long. They have 1

Deffense [45]

48 strips of fabric.

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3 years ago

If two measurements have the same number of decimal

Lera25 [3.4K]

Answer:

Yes.

Step-by-step explanation:

Yes, it is possible. For example, 0.2 and 0.2 both have one decimal place and one significant digit. Their product, 0.04, has one significant digit, but has 2 decimal places.

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2 years ago

Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?

Alexxandr [17]

Answer:

a) Add 4 to both sides, and then divide by 2. The solution is $x=12$ .

Step-by-step explanation:

Question:

Which of the following describes the correct process for solving the equation 2x − 4 = 20 and arrives at the correct solution?

a) Add 4 to both sides, and then divide by 2. The solution is x = 12.

b) Divide both sides by −4, and then subtract 2. The solution is x = −7.

c) Subtract 4 from both sides, and then divide by 2. The solution is x = −12.

d) Multiply both sides by −4, and then divide by 2. The solution is x = −40.

Solution:

Given equation:

$2x-4=20$

We need to determine the steps in order to solve for $x$ .

Solving for $x$ .

Step 1: Adding 4 both sides.

$2x-4+4=20+4$

$2x=24$

Step 2: Dividing both sides by 2.

$\frac{2x}{2}=\frac{24}{2}$

∴ $x=12$

Thus, we added 4 both sides and then divided both sides by 2 to get solution = 12

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3 years ago

La casa de Mauricio está construida en un terreno de forma rectangular, el cual mide el doble de largo que de ancho. Mauricio as

elixir [45]

Answer:

x^2 = 121

Step-by-step explanation:

Sea el ancho del terreno x metros

Dado que la longitud es el doble del ancho, entonces la longitud será 2 * x = 2x

Matemáticamente, el área de un rectángulo es;

Anchura longitud Por lo tanto, tenemos

x * 2x = 242 metros cuadrados

Así; 2x ^ 2 = 242

x ^ 2 = 242/2

x ^ 2 = 121

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2 years ago

I think of a number. I multiply it by 7. I add 12. The result is 40. What is the number I am thinking of?

julia-pushkina [17]

The number that you are thinking of is 4. To get this answer I did the opposite of how you received your answer.
40 - 12 = 28
28 ÷ 4 = 7
The number that you are thinking of is 4.

8 0

2 years ago