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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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Determine if 2x = 14 + y and 4x + 2y = 10 are parallel, perpendicular, or neither.
kozerog [31]

Answer:

Neither

Step-by-step explanation:

To tell if lines are perpendicular or parallel just from the equations, you need to look at the slopes. So get the equations into slop-intercept form

(y = slope * x + y-intercept)

2x = 14 + y

-14          -14

2x - 14 = y    OR     y = 2x - 14

*So the slope of the first equation is 2*

4x + 2y = 10

-4x           -4x

2y = -4x + 10

/2          /2

y = -4/2 + 10

*So the slope is -2*

For the lines to be parallel, the slopes have to be the same. For them to be perpendicular, the slopes have to be opposite (negative is the opposite of positive and vice versa) and reciprocal (A flipped fraction, so the reciprocal of 2 would be 1/2)

6 0
3 years ago
If the angle NME = x+97, the angle EML = x+66, and the angle NML = 141, find the angle EML
defon

Answer:

∠ EML = 94°

Step-by-step explanation:

See the attached diagram.

The three angles ∠ NME, ∠ EML and ∠ NML together make 360°.

Now, ∠ NME = x + 97, ∠ EML = x + 66 and ∠ NML = 141°

Hence, (x + 97) + ( x + 66) + 141 = 360

⇒ 2x + 304 = 360

⇒ 2x = 56

⇒ x = 28

So, ∠ EML = x + 66 = 28 + 66 = 94° (Answer)

6 0
3 years ago
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hodyreva [135]

Answer:

1.5 cm

Step-by-step explanation:

To find averages, you add up all the values then divide by the amount of number there are (i.e, 6, 7, 8, so there would be three numbers and therefore divide by 3)

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The question only supplied us with the mass of the new baby which is:

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1 year ago
URGENT PLEASE!!!!!!!!!!!!
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Answer:

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Step-by-step explanation:

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