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loris [4]
3 years ago
11

Please help

Mathematics
1 answer:
trapecia [35]3 years ago
3 0
I think D should be the write answer :)
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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
What is the length of the hypotenuse of the triangle when x = 7?<br> 5x +4<br> 4x
Anastasy [175]

Answer:

48.01

Step-by-step explanation:

5(7)+4= 39

4(7)=28

39²+ 28²= 2305

√2305 = 48.01

4 0
3 years ago
Finding the domain for
prohojiy [21]
When u want to find domain 
that meant u want to find all the valuable of x possible 
it will be possible if 

3-x >=0

x<=3

x = [-inf , 3[

#

7 0
3 years ago
Read 2 more answers
It takes Chris 6.5 hours to drive 455 miles. If he travels at the same rate, how long will it take him to drive 2100 miles?
mart [117]
First let’s divided 455 by 6.5 to figure out how far he travels in 1 hour which is equal to 70, now let’s do 2100 divided by 70, it will take 30 hours for him to drive 2100 miles.
3 0
3 years ago
Help pls I need it plss
cricket20 [7]

Answer:

26

Step-by-step explanation:

5 0
2 years ago
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