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aksik [14]
3 years ago
14

Enter a recursive rule for the geometric sequence.

Mathematics
1 answer:
Jlenok [28]3 years ago
8 0

Answer:

x_{n} = 5 \ * \ (-2)^{n-1}

Step-by-step explanation:

Given the geometric sequence:

5, −10, 20, −40, ...

The first term is a = 5  

And the common ratio = r = -10/5 = -2

The general rule of geometric sequence is

x_{n} = a \ * \ r^{n-1}

So, the rule for the given geometric sequence is:

x_{n} = 5 \ * \ (-2)^{n-1}

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Plzz help me helppppp I'm almost out of time
Evgen [1.6K]

Answer:

$6.50 per bag of popcorn

Step-by-step explanation:

let a bag of popcorn be represented by p and a candy bar be b

28p + 40b= $282

17p + 20b= $160.50

this is an example of stimatanelous equations

so you have to double the second equation to give 34p + 40b =$321

subtract the equations to give one

6p =$39

divide $39 by 6 to give the value of one bag of popcorn = $6.50

3 0
2 years ago
The function for the cost of materials to make a muffin is f(x) = Three fourths x + 3, where x is the number of muffins. The fun
larisa [96]

So first let’s put g(f(x)) together by putting f(x) for every x in g(x)

We get g(f(x))=3(3/4x+3)+4 which is the selling price equation

Then you plug in 20 to find the selling price for 20 muffins.

g(f(x))=3(3/4(20)+3)+4

g(f(x))=3(60/4+3)+4

g(f(x))=3(18)+4

g(f(x))=54+4

g(f(x))=58

So the selling price will be $58 for 20 muffins.

7 0
3 years ago
What is the value of k used to find the coordinates of a point that partitions a segment into a ratio of 5:3. Please Explain.
Dafna11 [192]

Answer:

The value of k is 5/8

Step-by-step explanation:

The value of k is found by dividing the numerator of the original ratio, 5, by the sum of the numerator and denominator of the ratio

When finding a point, P, to partition a line segment AB into the ratio a/b, we find a ratio c = a / (a + b)

According to this formula we find the value of k.

k = a/(a+b)

where a = 5

b = 3

Now plug the values in the formula:

k = 5/(5+3)

k = 5/8 ....

4 0
3 years ago
2/5g = 3/5<br><br> What does is solve to? <br> Give me a brief explanation please
swat32

Answer:

The answer is 1 and 1/2 or 1.5.

Step-by-step explanation:

I did 3/5 ÷ 2/5. Then I got 3/2. Then I turned the improper fraction into a mixed number.

8 0
3 years ago
Classify each sequence as arithmetic, geometric or neither
Karolina [17]

Answer:

Geometric sequence = ⁵/9, ⁵/3, 5, 15, 45. . .

Arithmetic sequence = 16, 11, 6, 1, -4 . . .

Step-by-step explanation:

A geometric sequence is a sequence of numbers, in which every number in the sequence after the first term is multiplied by a common ratio, which gives us the next term. The common ratio is the ratio of a term to the term before it.

On the other hand, an arithmetic sequence is a sequence of number have a common difference between each consecutive terms. This common difference is gotten by subtracting a term from the term before it.

Now let's examine each sequence given:

==>16, 11, 6, 1, -4 . . .

11 - 16 = -5

6 - 11 = -5

1 - 6 = -5

-4 - 1 = -5

This is an arithmetic sequence. The commons difference "-5" is the same

==>⁵/9, ⁵/3, 5, 15, 45. . .

⁵/3 ÷ ⁵/9 = ⁵/3 × ⁹/5 = ⁹/3 = 3

5 ÷ ⁵/3 = ⁵ × ⅗ = 3

15 ÷ 5 = 3

45 ÷ 15 = 3

The common ratio "3" is the same. This is a geometric sequence.

3 0
3 years ago
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