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Troyanec [42]
3 years ago
10

A recursive rule for an arithmetic sequence is a1=-4 an=4+a (n-1) What is the 4th term?

Mathematics
1 answer:
Lera25 [3.4K]3 years ago
8 0

Answer:

<h2>4th term is 8</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}a_1=-4\\a_n=4+a_{n-1}\end{array}\right\\\\a_2=4+a_1\to a_2=4+(-4)=4-4=0\\\\a_3=4+a_2\to a_3=4+0=4\\\\a_4=4+a_3\to a_4=4+4=8

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Mr Lok is putting a pool in his backyard. His backyard is 10 m long and 8 m wide, while the pool he wants has an area of 8m2. ho
Olin [163]

Answer:

hope this helps and make me brainliest

Step-by-step explanation:

. You have that:

- The homeowner want the length of the swimming pool to be 4 feet longer than its width.

- He wants to surround it with a concrete walkway 3 feet wide.

- He can only afford 300 square feet of concrete for the walkway.

2. Therefore, the tota area is:

At=L2xW2

L2 is the lenght of the walkway (L2=L1+3+3⇒L2=(W1+4+6)⇒L2=W1+10).

W2 is the width of the walkway (W1+3+3⇒W2=W1+6)

3. The area of the walkway is:

A2=At-A1

A2=300 ft²

4. Therefore, you have that the width of the swimming pool is:

A2=(W1+10)(W1+6)-(W1+4)(W1)

300=(W1²+6W1+10W1+60)-(W1²+4W1)

W1²+16W1+60-W1²-4W1-300=0

12W1-240=0

W1=240/12

W1=20 ft

5. And the length is:

L1=W1+4

L1=20+4

L1=24 ft

4 0
2 years ago
11. 6.2 m B 1.8m Calculate the value of x. NOT TO SCALE​
soldier1979 [14.2K]

Answer:

24.19

Step-by-step explanation:

\tan(x)  =  \frac{6.2}{13.8}  \\  x =   {  \tan}^{1}  \frac{6.2}{13.8}  \\ x = 24.19320899

or the value of x can be 24.20

3 0
2 years ago
What is the order of the surd 5? ​
Reptile [31]

Answer:

5

Step-by-step explanation:

the order of the surd is 5

5 0
3 years ago
Read 2 more answers
A dvd is marked down 15% the regular price is $12 what is the sale price?
mash [69]

15% off means the dvd is selling for 85% of the original price ( 100% - 15%=85%)

Multiply the original price by 85%

12 x 0.85 = 10.20

The price is $10.20

4 0
3 years ago
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Define variables and write a system of equations for each situation. Solve by using substitution.Suppose you want to join a vide
MrRa [10]

Answer:

The cost is the same after 15 video rentals

Step-by-step explanation:

Let the total cost be y

Let the number of video rentals made be x

Discount card for Big video = $9.99

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Cost of 1 big video rental = $2.49

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Cost of video rentals with big video:

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Cost of video rentals with main street video :

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For the two costs to be equal, the two equations have to be equal to each other

Equating equations (1) and (2)

9.99 + 2.49x = 20.49 +1.79x

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X = 10.5/0.7

X = 15  video rentals

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3 years ago
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