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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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Which equation has a constant of proportionality equal to 9 y=81/3x y=9x y=3x y==1/9x
aev [14]

Answer:

B)  y = 9 x has Proportionality Constant = 9

Step-by-step explanation:

Two quantities P and Q are said to be PROPORTIONAL if and only if:

P ∝ Q ⇔  P  = k Q    ⇔ k = \frac{P}{Q}

Here, k = PROPORTIONALITY CONSTANT

Given : k = 9

Now, let us consider the given expressions in which  x ∝y

y  = 81/3 x

Here, \frac{y}{x} = \frac{81}{3}  = 27 \ne 9

So, here Proportionality Constant ≠ 9

y = 9 x

Here, \frac{y}{x} =  9

So, here Proportionality Constant = 9

y = 3 x

Here, \frac{y}{x} =  3 \ne 9

So, here Proportionality Constant ≠ 9

y  = 1/9 x

Here, \frac{y}{x} =  \frac{1}{9}  \ne 9

So, here Proportionality Constant ≠ 9

Hence, only y = 9 x has Proportionality Constant = 9

8 0
3 years ago
What is the value of x in the figure shown below?
Zepler [3.9K]

Answer:

75 degrees.

Step-by-step explanation:

The total number of degrees in a triangle is 180 degrees therefore you can take the sum of the other 2 angles in the triangle and take that number and subtract it from 180.

1). 30+75=105

2).180-105=75

3). using the Side, Side, Side geometry rule, this means that both triangles are the same for all angles and side lengths

4). using the Alternative angle rule, the rule that say that a line that intersects 2 parallel lines forms 4 pairs of similar angles

5). therefore angle ABC is the same as angle BCD

6). Angle ABC was determined to be 75 degrees therefore angle BCD is also 75 degrees

3 0
3 years ago
F(x)=3x^2-4 and g(x)=x+2 find f-g (x)
ratelena [41]

Answer:

<h2>(f - g)(x) = 3x^2 - x - 2</h2>

Step-by-step explanation:

Here we subtract  g(x)=x+2 from f(x)=3x^2-4

Properly labeled, we get:

(f - g)(x) = 3x^2-4 - (x+2)    (Use of parentheses is essential here.)

or

(f - g)(x) = 3x^2 - x - 2

3 0
3 years ago
Angel and Trevor were working on a math problem. It was asking what the "greatest common factor" of 30 and 18. They decided that
Varvara68 [4.7K]

Answer:

6

Step-by-step explanation:

Prime factorize 30: 2*3*5

Prime factorize 18: 2*3^2

The similarities are 2^1 and 3^1, and 2*3 is 6.

6 0
3 years ago
How many inches are equal to 16 feet
Marrrta [24]

Step-by-step explanation:

16 feet is equal to 192 inches.

Hope it helps :)❤

3 0
3 years ago
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