1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Oliga [24]
2 years ago
13

What is the nth term of the sequence -2 -8 -18 -32 -50

Mathematics
1 answer:
andreev551 [17]2 years ago
6 0

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}

You might be interested in
Mason takes his pulse. He counts 48 beats in 2/3 minute. Mason goes on a bike ride and takes his pulse again. Now he counts 81 b
Kazeer [188]

Answer:

Therefore,  beats per minute did  increase for 36.

Step-by-step explanation:

48: 2/3=x:1

48=2/3 × x

x=3/2×48

x=72

81:3/4=x:1

81=x×3/4

x=4/3×81

x=108

Therefore,  beats per minute did  increase for 36.

5 0
3 years ago
Solve -2x-8&gt;3x+12<br><br> (Picture added, multiple choice)
QveST [7]
It will be c i showed how on paper

7 0
3 years ago
Solve for x.<br> Your answer must be simplified.<br><br> x+5≤−4
iren2701 [21]

Answer:

x ≤ -9

Step-by-step explanation:

to solve this equation you must subtract 5 from both sides

you get

x ≤ -9

that is your answer

4 0
2 years ago
Read 2 more answers
Sara is getting ready for work. She has black pants, blue pants, grey pants, a red shirt, a green shirt, a white shirt, a blue s
Nady [450]

Answer:

3 pants

3 shirts

2 sweaters

just multiply 3x3x2= 18 combinations

7 0
3 years ago
Please help me with these 3 problems ASAP.
r-ruslan [8.4K]

Answer:

For the first question(B)

x=-2

x=5

For part C, the question is not clear

For the last question, the approximated value is -5/4

5 0
3 years ago
Other questions:
  • A website has 826,140 hits what is the value of the 8 in 826,140
    13·2 answers
  • If you vertically stretch the exponential function f(x) = 2* by a factor of 5, what
    13·1 answer
  • Simplify each expression.
    5·1 answer
  • What is the absolute value of |-7.8| <br><br> What is the absolute value of -7.8
    15·2 answers
  • Round 2895 to the nearest 10
    9·2 answers
  • There are 400 people in a studio audience. The probability that a person chosen at random from this audience is male is 5/8. How
    8·1 answer
  • Examine the following graph on the line
    8·1 answer
  • Select the statement that can be represented by -10 dollars.
    12·1 answer
  • A cycle is marked at ₹ 4500 and sold for rupees ₹4185 padma said that the discount percentage is 7 % do you agree ? give reasons
    15·1 answer
  • If angle A measures 45° 55' 10" and angle B measures 55° 45' 55", then find:​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!