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son4ous [18]
4 years ago
9

Complete the recursive formula of the geometric sequence -0.6.3, -15, 75, ....

Mathematics
1 answer:
nasty-shy [4]4 years ago
4 0

Answer:

c(n)=-5c(n-1)\\c(1)=-0.6

Step-by-step explanation:

Given the geometric sequence

-0.6, 3, -15, 75, ...

Common ratio, r=\dfrac{3}{-0.6} =\dfrac{-15}{3}=-5

The next term, c(n) is obtained by multiplying the previous term c(n-1) by -5.

Therefore, the recursive formula for the sequence is:

c(n)=-5c(n-1)\\c(1)=-0.6

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Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of
vampirchik [111]

Answer:

78 dollars

Step-by-step explanation:

Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. Find the value of c(7).

Given:

c(n) = 50 + 4n

Where,

c = monthly cost of visiting a gym

n = number of visits

Find the value of c(7)

That is, when n = 7

c(n) = 50 + 4n

c(7) = 50 + 4(7)

= 50 + 28

= 78

c(7) = 78 dollars

8 0
3 years ago
Round each number to the nearest whole number. What is the best estimate for the sum of 317.38 82.21? A. 410 B. 400 C. 399 D. 39
Tcecarenko [31]
B. 400. They sum up to 399.59 which rounds to 400
7 0
3 years ago
Read 2 more answers
The mid point of ab m(1,-1). if the coordinates of a are (7,-4) what are the coordinates of b
uysha [10]

9514 1404 393

Answer:

  b = (-5, 2)

Step-by-step explanation:

b = 2m - a = 2(1, -1) -(7, -4) = (2-7, -2+4)

b = (-5, 2)

__

<em>About the formula</em>

The midpoint is given by the formula ...

  m = (a+b)/2

Solving for b gives ...

  b = 2m -a . . . as above

5 0
3 years ago
on a blueprint, the height of a door is 0.4cm. the actual height of the door is 2m. What is the scale on the blueprint?
Roman55 [17]

Step-by-step explanation:

2 m corresponds to 0.4 cm on a blueprint.

so,

2 m / 0.4 cm = 200 cm / 0.4 cm

our fun the point of view of the blueprint

0.4 cm / 200 cm

the scale on a map or blueprint is usually normed to one unit on the blueprint :

0.4/200 × f/f = 1/(200×f)

0.4 × f = 1

f = 1/0.4 = 2.5

so, our scale is

(0.4 × 2.5) / (200 × 2.5) = 1 / 500

that means 1 cm on the blueprint corresponds to 500 cm or 5 m in reality.

4 0
2 years ago
What is the answer to:<br> 9/8 + 5/6
Alchen [17]

Answer:

9/8 plus 5/6 = 20/24 + 27/24 = 47/24 = 1 23/24

Step-by-step explanation:

8 0
3 years ago
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