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
stich3 [128]
3 years ago
7

Answer please! Find the answer to both questions

Mathematics
1 answer:
SpyIntel [72]3 years ago
5 0

Answer:

  • AP
  • tₙ = (n-2)k² + (2n - 3)k + n

Step-by-step explanation:

<u>Given sequence:</u>

  • -k² - k + 1, k + 2, k² + 3k + 3, 2k² + 5k + 4, ...

We can see apart from the second term all terms are 2nd degree trinomial so it is not a GP.

Let's find the difference: to determine if it is a AP:

  • k + 2 - (-k² - k + 1) = k + 2 + k² + k -1 = k² + 2k + 1
  • k² + 3k + 3 - (k + 2) =  k² + 3k + 3 - k - 2 = k² + 2k + 1
  • 2k² + 5k + 4 - (k² + 3k + 3) = 2k² + 5k + 4 - k² - 3k - 3 = k² + 2k + 1

As we see the difference is common and it confirms the sequence is AP.

<u>First term is </u>

  • a₁= -k² - k + 1

<u>Common difference is </u>

  • d = k² + 2k + 1

<u>nth term is:</u>

  • tₙ = a₁ + (n-1)d
  • tₙ = -k² - k + 1 + (n-1)(k² + 2k + 1) =
  • -k² - k + 1 + (n-1)k² + (n-1)*2k + n-1 =
  • (n-2)k² + (2n - 3)k + n
You might be interested in
PLEASE HELP, IM TIMED!!!!!!
Andru [333]

Answer:A,B,E

Step-by-step explanation:

7 0
4 years ago
Bryan hiked up to the top of City Creek in 3 hr and then returned down the canyon to the trailhead in another 2 hr. His speed do
kati45 [8]
Still need your answer ?

7 0
3 years ago
What is the solution to 4 (m-3) + 19 = 8 (2m + 3) + 7?
Flauer [41]

Answer:

x=-2

Step-by-step explanation:

Let m=x

4(x-3)+19=8(2x+3)+7\\

Expand the parentheses:

4x-12+19=16x+24+7\\4x+7=16x+31\\-31+7=16x-4x\\-24=12x\\x=-2

<em>Hope this helped! If you have any more questions regarding the explanation, please comment below, have a good day!</em>

6 0
3 years ago
Factor by grouping 20p³+15p²+24p+18​
ivolga24 [154]
(4p +3)(5p2 + 6) is your answer
7 0
3 years ago
Todd bought a jetski through an interest free payment plan. The ski was $2000 and his payment were $250 each. What percent of th
stepan [7]

Answer:

12.5%

Step-by-step explanation:

\frac{250}{2000}  \times 100\%

= 12.5%

Percentage of total cost that is the payments= 12.5%

4 0
3 years ago
Other questions:
  • Marita orders 12 yards of material to make banners. if she needs 1 foot of fabric for each banner, how many banners can she make
    12·1 answer
  • Subtraction of two real numbers may be defined of what operation
    14·1 answer
  • Help pleaseeeeee!!! I will give Brainliest
    12·1 answer
  • A marathon is a race that is 46,145 yards long round this number to the nearest hundred
    14·2 answers
  • What is π/6? I don’t know. No calculators!
    12·2 answers
  • Write the polynomial as a product: 15x^3z+30x^2–18yz–9xyz^2<br> Pls help
    5·1 answer
  • Which statement is true?
    11·2 answers
  • I need help please please
    6·1 answer
  • HELP I NEED THIS DONE ITS DUE TODAY
    10·1 answer
  • What is 5378427 divide by 67
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!