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ExtremeBDS [4]
3 years ago
5

Create an explicit formula of the sequence. 7, 14, 28, 56, ..., Find the 10th term of the sequence. Complete your work in the sp

ace provided or upload a file that can display math symbols if your work requires it. In your answer, be sure to include the explicit formula and the 10th term of the sequence.
Mathematics
1 answer:
White raven [17]3 years ago
4 0

Answer:

  an = 7·2^(n-1)

  a10 = 3584

Step-by-step explanation:

(a) The terms of the sequence do not have a common difference, but they do have a common ratio. That ratio is 14/7 = 2. The general term of a geometric sequence with first term a1 and common ratio r is ...

  an = a1·r^(n-1)

For a1=7 and r=2, the explicit formula is ...

  an = 7·2^(n-1)

__

(b) The 10th term is ...

  a10 = 7·2^(10 -1) = 7·512

  a10 = 3584

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Annie has 3/2 pounds of cookie dough. If she needs 1/16 of a pound of cookie dough to make one cookie, how many cookies can she
Zanzabum

Answer:

\boxed{\sf 24\ cookies}

Step-by-step explanation:

1 cookie = 1/16 of a pound of cookie

If we want to find how many cookies can be made by 3/2 pounds ( 1.5 pounds) then we need to divide 3/2 pounds by 1/16

=> \frac{3}{2} / \frac{1}{16}

=> \frac{3}{2} * 16

=> 3*8

=> 24 cookies

4 0
3 years ago
Read 2 more answers
A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 45 pounds each, and the small boxes
shutvik [7]

Answer:

50(115-y) + 25y = 4125             [from eq2]

    5750 - 50y  + 25y = 4125           [distribute]

    5750 - 25y = 4125

     -25y = -1625

        y = 65             [divide both sides by (-25)]

There are 65 small boxes.

Put that value into either equation (now, which is easier?) to solve for x:

 x = 115 - y

 x = 115 - 65

 x = 50

 There are 50 large boxes.

- Mring0506

4 0
3 years ago
Graph f (x) =(-2)× need helppppp
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A coffee shop plans to blend a coffee that sells for $12 per pound with coffee that sells for $9 per pound to produce a blend th
zvonat [6]

Answer:

20/3 pounds of coffee that costs $12 per pound  and 40/3 pounds  of coffee that costs $9 per pound are required

Step-by-step explanation:

Let x be the amount of coffee that costs $12 per pound

Cost of x amount of this type coffee = 12x

We are supposed to find How much of each should be used to produce 20 pounds of the new blend that costs $10 per pound

So, Amount of coffee required that costs $9 per pound = 20-x

Cost of (20-x) amount of this type of coffee = 9(20-x)

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Hence 20/3 pounds of coffee that costs $12 per pound  and 40/3 pounds  of coffee that costs $9 per pound are required

8 0
4 years ago
What is the area of the shaded region? TYPE ONLY THE NUMERIC ANSWER GIVING BRAINLIEST
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To get the area of the shaded region, we must subtract the area of the bigger triangle on the outside and the area of the smaller triangle inside the bigger triangle.

Set up the equation:

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So the area of the shaded region is 96.

Hope that helps!

6 0
2 years ago
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