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Vlada [557]
3 years ago
7

Write the rule for the given sequence: 83,79,75,... show work for credit

Mathematics
1 answer:
love history [14]3 years ago
3 0

Answer:

arthemethic sequence with common diffrance=4 then an=4n+79

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What is the nth term of the sequence -2 -8 -18 -32 -50
andreev551 [17]

Answer:

-2n²

Step-by-step explanation:

Using the image attached:
We see that the second differences (blue ones) are all equal so we conclude that this is a quadratic sequence.
The quadratic sequence has the form:
T_{n} = an^{2}  +bn +c

To find the value of a we just divide second difference ( -4 ) by 2:

  • a = \frac{-4}{2}= -2

Now we have:

  • T_{n}= -2n^{2}  +bn+c

Substitute n_{1} and n_{2} into the equation above:

  • T_{1} = -2(1)^{2}  +b(1) +c
  • T_{2} = -2(2)^{2}  +b(2)+c

Since T_{1} = -2 and T_{2} = -8 , after simplification we have:

  • b +c =0
  • 2b+c=0

The solution of this system is:

  • b=0, c =0

The general term is :

T_{n} = -2n^{2}

6 0
2 years ago
This question made me stuck lol.. I really need help
Svetach [21]
(4,5)(2,1)
slope = (1 - 5) / (2 - 4) = -4/-2 = 2

(-2,3)(-4,4)
slope = (4 - 3) / (-4 - (-2) = 1/(-4 + 2) = -1/2

2 and -1/2 are negative reciprocals of each other....therefore, ur lines are perpendicular <==


5 0
3 years ago
The points $(7, -6)$ and $(-3, -4)$ are the endpoints of a diameter of a circle. What is the sum of the coordinates of the cente
Ymorist [56]
Please answer please please thank you
5 0
3 years ago
What is the solution to the equation t + 14 = 24? 38 10 14 24
olchik [2.2K]

Answer:

10

Step-by-step explanation:

24-14=10

Do these equations backwards to find the answer you are looking for.

4 0
3 years ago
What set of reflections would carry triangle ABC onto itself?
Lelechka [254]

Answer:

it's x- axis,y- axis,x-axis

Step-by-step explanation:

hope this will help you

4 0
4 years ago
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