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KengaRu [80]
3 years ago
12

Write a recursive rule for the sequence 4,10,16,22

Mathematics
1 answer:
Phantasy [73]3 years ago
8 0

Answer:

a_{n+1} = a_{n} + 6

Step-by-step explanation:

The terms have a common difference d between consecutive terms, that is

10 - 4 = 16 - 10 = 22 - 16 = 6

To obtain the next term add 6 to the previous term ( recursive rule ), thus

a_{n+1} = a_{n} + 6 with a₁ = 4

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Answer:

756

Step-by-step explanation:

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It's 17 over 100, it goes no lower because 17 is a prime number
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Partitioning- finding the endpoint
ElenaW [278]

Values of x and y will be 12 and 5 respectively.

It's given in the question,

  • Three points Q, R and S are collinear.
  • Coordinates of Q → (2, 0)
  • Coordinates of R → (8, 3)
  • Coordinates of S → (x, y)
  • QR : RS = 3 : 2

Since, expression for the coordinates of a point (h, k) which divides the segment joining points (x_1,y_1) and (x_2,y_2) in the ratio of m : n is given by,

h = \frac{mx_2+nx_1}{m+n}

k = \frac{my_2+my_1}{m+n}

Since, R is a point on segment QS dividing in the ratio of 3 : 2, coordinates of R will be,

8=\frac{3x+2\times 2}{3+2}

8=\frac{3x+4}{5}

3x+4=40

3x=36

x=12

Similarly, 3=\frac{3y+2\times 0}{3+2}

3=\frac{3y}{5}

3y=15

y=5

       Therefore, values of x and y will be 12 and 5 respectively.

Learn more,

brainly.com/question/8061114

5 0
3 years ago
I’m adding 30 point to this bc I’m desperate LMDKSIISODKD HELP
sesenic [268]

Answer:

Its B

Step-by-step explanation:

3 0
3 years ago
A cereal box has the dimensions shown. A drawing of a rectangular prism shaped cereal box with length 9 inches, width 4 inches a
malfutka [58]

Answer:

surface area of the rectangular shaped cereal box = 384  ft²

Step-by-step explanation:

The cereal box is a rectangular prism . The rectangular prism has a length of 9 inches, height of 12 inches and width of 4 inches . The surface area can be computed below .

Surface area of the prism is the sum of the area of all the faces. Therefore,

surface area = 2wl + 2lh + 2hw

where

l = length

w = width

h = height

surface area = 2wl + 2lh + 2hw

l = 9 inches

w = 4  inches

h = 12 inches

surface area = 2(4 × 9) + 2(9 × 12) + 2(12 × 4)

surface area = 2(36) + 2(108) + 2(48)

surface area = 72 + 216  + 96

surface area of the rectangular shaped cereal box = 384  ft²

 

4 0
4 years ago
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