All categories

3 years ago

What is the A10 for the sequence: 2, 6, 18, 54...?

Mathematics

2 answers:

balu736 [363]3 years ago

4 0

Answer:

118098 (Assuming 2 is A0)

Step-by-step explanation:

To get the 10th number in this sequence, you can do A0 (aka 2) * 3^10.

3 is the ratio in this sequence in 3^10

10 is for the 10th number in the sequence in 3^10

Debora [2.8K]3 years ago

3 0

We can divide to find the common ratio.

This is an example of a geometric sequence.

6 / 2 = 3

18 / 6 = 3

54 / 18 = 3

The common ratio is 3.

We know the first four terms, so all we need to find the rest of the terms.

A1: 2

A2: 6

A3: 18

A4: 54

A5: 54 * 3 = 162

A6: 162 * 3 = 486

A7: 486 * 3 = 1458

A8: 1458 * 3 = 4374

A9: 4374 * 3 = 13122

A10: 13122 * 3 = 39366

Best of Luck!

You might be interested in

Mr. Wells runs a telecommunications company. While going through the company's project records, he found that there were 8 engin

Allisa [31]

There are 12 project managers that are employed by Mr. Wells

<h3>Further explanation</h3>

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

<em>m → gradient of the line</em>

<em>( 0 , c ) → y - intercept</em>

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

$\large {\boxed{m = \frac{y_2 - y_1}{x_2 - x_1}}}$

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

$\large {\boxed{y - y_1 = m ( x - x_1 )}}$

<em>Let us tackle the problem!</em>

$\texttt{ }$

This problem is about Directly Proportional.

<em>There were 8 engineers under every team leader.</em>

$\texttt{1 Team Leader} \rightarrow \texttt{8 engineers}$

$\texttt{15 Team Leader} \rightarrow 15 \times \texttt{8 engineers} = \boxed{\texttt{120 engineers}}$

$\texttt{ }$

<em>There were 5 project managers for every 50 engineers.</em>

$\texttt{50 engineers} \rightarrow \texttt{5 project managers}$

$\texttt{120 engineers} \rightarrow (120 \div 50) \times \texttt{5 project managers} = \boxed{\texttt{12 project managers}}$

$\texttt{ }$

<h3>Learn more</h3>

Infinite Number of Solutions : brainly.com/question/5450548
System of Equations : brainly.com/question/1995493
System of Linear equations : brainly.com/question/3291576

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

7 0

3 years ago

2.943 divided by 2.7

kenny6666 [7]

Answer:

1.09

Step-by-step explanation:

hope this helps

-mercury

5 0

3 years ago

What is the absolute value of point J on the number line?

timama [110]

Answer:

D (6)

Step-by-step explanation:

you must place a number on a number line starting from the smallest (negative number ) to the bigger number (positive number ).

the number that is represented by J is 6

4 0

3 years ago

Erin has a checking account. Her opening balance on 2/5 was $100. The bank charges a 25¢ fee for each debit card transaction and

tia_tia [17]

The answer is 56.45 good luck!

6 0

3 years ago

A kitten's weight increase by 12% each week for 4 mouths the little currently weighs 2.6 pounds which will not calculate how muc

krok68 [10]

Answer:

a. 2.6(0.12)

Step-by-step explanation:

Check all of the other answers: b. c. and d. are variations of equations that equal to 2.912. 2.6(0.12) is not the correct equation because it equals to 0.312. The kitten‘s weight must increase, so that is the incorrect equation.

5 0

3 years ago