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kotykmax [81]
3 years ago
9

How do you find the nth to the quadratic sequence of 3,8,15,24,35

Mathematics
1 answer:
Oduvanchick [21]3 years ago
4 0

Having the first term of the sequence 

<span>a<span>(0)</span>=3</span>

<span>a<span>(1)</span>=3+5=8</span> 

We realized that 

<span>a<span>(1)</span>=a<span>(0)</span>+2⋅2+1</span>

We also have :

<span>a<span>(2)</span>=a<span>(1)</span>+2⋅3+1=8+7=15</span> 

<span>a<span>(3)</span>=a<span>(2)</span>+2⋅4+1=15+9=24</span>

From above we can realize that each term is the sum of the previous

term and 2*(sequence coefficient added to 1) and 1

So the nth term will be:

<span>a<span>(n)</span>=a<span>(n−1)</span>+2⋅<span>(n+1)</span>+<span>1
</span></span>

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Mice21 [21]

Answer: see below

Step-by-step explanation:

(i)

200/2 = 100

Find 100 on cumulative frequency and the correspinding time: 14 minutes. So the answer is 14 minutes.

(ii)

First, find the lower quartile —> 200/4 = 50

Upper quartile —> 200/(3/4) = 150

Find the difference: 150 - 50 = 100

So the interquartile range is 100

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5 0
3 years ago
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aliina [53]
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5 0
3 years ago
If the first number is increased by 7 and the second number is reduced by 6 times, the sum of these numbers is 29.
Marta_Voda [28]

Answer:

First number = 20

Second number = 12

Explanation:

Let the 1st number be x

Let the 2nd number be y

=====================

Condition 1

\sf \rightarrow  x + 7 + \dfrac{y}{6}  = 29

\rightarrow \sf x=-\dfrac{y}{6}+22

=====================

Condition 2

\rightarrow \sf 2y - (x - 5) = 9

\rightarrow \sf x = 2y -4

=====================

Substitute equations

\rightarrow \sf  -\dfrac{y}{6}+22 = 2y-4

\rightarrow \sf y=12

=====================

Find value of 1st number

\rightarrow \sf x = 2y - 4

\sf \rightarrow x = 2(12) - 4

\rightarrow \sf x = 20

7 0
2 years ago
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Nataly_w [17]

Answer and Step-By-Step Explanation:

The point shown is marked at (36,82), meaning that the panda is 36 months old and weighs 82 kilograms.  To plot the next point, just go up from 110 on the graph to 90 and mark a point.  (Sorry I tried to put an image but it was extremly blurry.)

7 0
3 years ago
SHOW YOUR WORK,Solve this system of equations for x using the addition method
maria [59]

Answer:

NUMBER 1.)

Step 1

Subtract 3y3y from both sides.

5x=10-3y5x=10−3y

Step 2

Divide both sides by 55.

\frac{5x}{5}=\frac{10-3y}{5}

5

5x

=

5

10−3y

Hint

Undo multiplication by dividing both sides by one factor.

Step 3

Dividing by 55 undoes the multiplication by 55.

x=\frac{10-3y}{5}x=

5

10−3y

Hint

Undo multiplication.

Step 4

Divide 10-3y10−3y by 55.

x=-\frac{3y}{5}+2x=−

5

3y

+2

Hint

Divide.

Solution

x=-\frac{3y}{5}+2x=−5

3y+2

Step-by-step explanation:

NUMBER 2.)

Step 1

Add 4y4y to both sides.

3x=6+4y3x=6+4y

Step 2

The equation is in standard form.

3x=4y+63x=4y+6

Step 3

Divide both sides by 33.

\frac{3x}{3}=\frac{4y+6}{3}

3

3x

=

3

4y+6

Hint

Undo multiplication by dividing both sides by one factor.

Step 4

Dividing by 33 undoes the multiplication by 33.

x=\frac{4y+6}{3}x=

3

4y+6

Hint

Undo multiplication.

Step 5

Divide 6+4y6+4y by 33.

x=\frac{4y}{3}+2x=

3

4y

+2

Hint

Divide.

Solution

x=\frac{4y}{3}+2x= 3

4y+2

4 0
2 years ago
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