1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Temka [501]
2 years ago
15

Write the explicit formula for this geometric sequence.

Mathematics
1 answer:
Naily [24]2 years ago
7 0

The explicit formula for this  geometric sequence 81, 27, 9, 3, … is aₙ = 81(1/3)ⁿ⁻¹. It has common ratio of 1/3 and first term of 81.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

A geometric sequence is in the form aₙ = ar⁽ⁿ⁻¹⁾, where a is the first term and r is the common ratio.

The geometric sequence 81, 27, 9, 3, … has common ratio:

r = 27/81 = 1/3

The explicit formula for this  geometric sequence 81, 27, 9, 3, … is aₙ = 81(1/3)ⁿ⁻¹. It has common ratio of 1/3 and first term of 81.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

You might be interested in
Use thr Pythagorean theorem to find perimeter. What is the perimeter of the triangle??​
kramer
The base is 12cm and the height is 9cm.
b= 12cm
h=9cm

4 0
3 years ago
If the pattern below was tripled, what would be the ratio of black squares to gray squares
andrezito [222]

If the pattern (see attachment) below was tripled, the ratio of black squares to gray squares would be equal to 1:2.

<h3>What is a proportion?</h3>

A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

Mathematically, a direct proportion can be represented by the following equation:

y = kx

Where:

  • y and x are the variables.
  • k represents the constant of proportionality.

<h3>What is a ratio?</h3>

A ratio can be defined as a mathematical expression that's used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

For this exercise, the ratio of black square to gray squares is given by:

B:G = 1:2

Tripling the pattern, we would multiply by three (3) as follows:

B:G = [1:2] × 3

B:G = 3:6

Dividing all through by 3, we have:

B:G = [3:6]/3

B:G = 3/3 : 6/3

B:G = 1:2.

Read more on ratio here: brainly.com/question/13513438

#SPJ1

5 0
1 year ago
Write the function AG(X) representing the area of the garden in terms of x.
k0ka [10]

The area of this rectangle is x*y. But, this problem requires that you represent the variable "y" in terms of "x" only.

A hint here is that the variable "y" represent a point on the line that connects the end points (0,b) and (a,0).

The first step to solve this problem is to get the expression of this line.

The slope of this line is:   m = (0 - b)/(a - 0) = -b/a

Because the point (x,y) is on this line we have:   y - b = m(x - 0)

                                                                      y = (-b/a)x + b

Solution: Area of the rectangle = x*y = x*((-b/a)x + b) = (-b/a)x2 +bx

6 0
3 years ago
Can I get help with 3 through 5
Nesterboy [21]

Answer: 3 is -4

Step-by-step explanation:

6 0
2 years ago
Solve for x.<br> 2(4x+9)=98
diamong [38]

Answer:

X=10

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the average of 99 and 52 ?
    15·2 answers
  • By selling a table for Rs.1,350 a man makes a loss of 10%.What percent would he have gained if he has sold it for Rs. 1,600​
    10·1 answer
  • 15 points IF ANY1 HELPS ASAP PLZ
    8·1 answer
  • 10 oz for $2.68<br> What is the price for<br> 1 oz? |
    15·1 answer
  • 34 + 4 ⋅ 5 = ____<br> PLEASE HELP ASAP FOR BRAINLIEST!!!!!
    7·2 answers
  • How far do you need to continue the division of 1 by 7 to know the answer?
    8·1 answer
  • If the domain of y= 2x+1 is 2, 4, 6, then what is the range?
    13·1 answer
  • I need help with this
    5·2 answers
  • Using Matrices to find a co-linear missing point
    5·1 answer
  • How do you find the area of a 2x-3 square
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!