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Temka [501]
1 year ago
15

Write the explicit formula for this geometric sequence.

Mathematics
1 answer:
Naily [24]1 year 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

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Six times a number equals 3 times the number, increased by 12. Find the number
tino4ka555 [31]

Answer:

x=4

Step-by-step explanation:

"A number" can be rewritten as X:

6x=3x+12

1) subtract 3x on both sides:

3x=12

2) divide both sides by 3:

x=4

4 0
2 years ago
The perimeter of a rectangular toddler play area is 100 feet. The length is 10 feet more than 3 times the width. Find the length
Mekhanik [1.2K]

Answer:

length and width = 40 and 10 ft.

Step-by-step explanation:

The perimeter of a rectangular toddler play area is 100 feet.

Perimeter = 2(length + width)

Let the width = w

The length is 10 feet more than 3 times the width. Length = 10+(3w)

now put the values

100 = 2(10+3w + w)

100 = 2w + 20 + 6w

100 = (2w + 6w) + 20

100 = 8w + 20

8w = 100 - 20

w = \frac{80}{8}

w = 10 feet.

Now Length = 10+ (3w)

                     = 10+( 3 × 10)

                     = 10 + 30

                     = 40 feet

Therefore, length = 40 feet and width = 10 feet

8 0
3 years ago
Please help me:( I've been stuck on this for so long
Contact [7]

Answer:\

S=4

Step-by-step explanation:

Hope this helped!!!!!

6 0
3 years ago
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1. How can a table be used to find the rate of change and the initial value? Describe the process.
rodikova [14]

Answer:

1. Pattern. 2. I don't know that one

Step-by-step explanation:

For finding the rate with a table all you do is look how far the numbers are jumping each time. Example: x: 1, 3, 5, 7, 9 y: 2, 4 ,6 ,8 , 10

Both the x and y follow a pattern, though its not the same, its still a pattern

(The Constant rate of change for x is 2 as it goes up 2 every time and the constant rate of change for y is also 2 as it goes up by 2 every time

4 0
2 years ago
Help!!!!! Please!!! Limited time!!!! Please thanks
zmey [24]

Answer:C

Step-by-step explanation:

the square root of 12 is 3.46

6 0
3 years ago
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