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svetlana [45]
3 years ago
12

Find the recursive formula -3,12,-48,192​

Mathematics
1 answer:
larisa [96]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

The given terms are the terms of a geometric sequence with common ratio

r = \frac{12}{-3} = \frac{-48}{12} = \frac{192}{-48} = - 4

A recursive formula enables any term in the sequence from the previous term.

Thus multiplying the previous term by - 4 gives the next term in the sequence

Hence the recursive formula is

a_{n+1} = - 4a_{n} , a_{1} = - 3

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Difference between the night and and low temperature is 29
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3 years ago
A pipe is leaking at 1.5 cups per day. About how many gallons per week is the pipe leaking
Soloha48 [4]
Multiply 1.5 times 7. That comes to 10.5 cups per week. Now convert it to quarts. There are 4 cups in one quart, so divide 10.5 by 4. That comes to 2.625 quarts per week. Now convert it to gallons. There are 4 quarts in a gallon, so divide 2.625 by 4. That comes to about 0.7 gallons a week, or 7/10.
8 0
3 years ago
Find the area of a rectangle having a perimeter of 182 yards and a width 20 yards shorter than twice its length
Studentka2010 [4]
Let the length be l in this equation.

We know that the perimeter of a rectangle is w2 + l2 = P

Width is defined in terms of length, so we know w = l2 - 20

We can substitute this value of w into the formula for perimeter to find the length.

(l2 - 20)2 + l2 = 182

l4 - 40 + l2 = 182

l4 + l2 = 222

l6 = 222

l = 37

So the length is 37. Now that we've found the length, we can go back to the Perimeter formula again and find width.

w2 + (37)2 = 182

w2 + 74 = 182

w2 = 108

w = 54

Width is 54. Now with both of these values found, we can calculate area with the formula l * w = A

37 * 54 = A

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So the area of the rectangle is 1998 yards^2.
3 0
3 years ago
A 12-foot ladder is placed against a wall with a 45-degree angle between the ladder and the ground. Using two different
Lelechka [254]

Answer:

24

Step-by-step explanation:

the wall meets the at a 45 degree angle and because of this we can draw a traingle allowing us to use the 45,45,90 method so then we do 12 times 2 and we get 24

7 0
2 years ago
Solve : <br><br>1) 5x – 15x²<br>2) 3x-9​
8090 [49]

Answer:

1) 5x(1 - 3x)

2) 3(x - 3)

Step-by-step explanation:

<u>Question # 1:</u>

= 5x - 15x²

Take 5x common

= 5x(1 - 3x)

<u>Question # 2:</u>

= 3x - 9

Take 3 common

= 3(x - 3)

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
4 0
2 years ago
Read 2 more answers
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