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
RideAnS [48]
3 years ago
9

Given: 1; -5; -13 ; -23 ; ... Derive a formula for the nth term in the pattern.

Mathematics
1 answer:
mylen [45]3 years ago
3 0

Answer:

  f(n) = -n^2 -3n +5

Step-by-step explanation:

Suppose the formula is ...

  f(n) = an^2 +bn +c

Then we have ...

  f(1) = 1 = a(1^2) +b(1) +c

  f(2) = -5 = a(2^2) +b(2) +c

  f(3) = -13 = a(3^2) +b(3) +c

__

Here's a way to solve these equations.

Subtract the first equation from the second:

  -6 = 3a +b . . . . . 4th equation

Subtract the second equation from the third:

  -8 = 5a +b . . . . . 5th equation

Subtract the fourth equation from the fifth:

  -2 = 2a

  a = -1

Then substituting into the 4th equation to find b, we have ...

  -6 = 3(-1) +b

  -3 = b

and ...

  1 = -1 +(-3) +c . . . . . substituting "a" and "b" into the first equation

  5 = c

The formula is ...

  f(n) = -n^2 -3n +5

You might be interested in
Solve for k.<br> 14k+ 17 &gt; 3
Alborosie

Answer:

5

Step-by-step explanation:

5rrrrrrrrrrrrrffrrffjfhrhrhrhffhffh

6 0
2 years ago
Read 2 more answers
please help me answer these 3 questions correctly . u will get 30 pints if you do and the brainlest. please do not answer if you
stira [4]

Answer:

1

1

3

Step-by-step explanation:

6 0
3 years ago
Jeff has $6000 in a savings account, has $15000 in investments, he owned a guitar worth $1000, he has $17000 left to pay on his
Law Incorporation [45]

Answer:

$200

Step-by-step explanation:

To find Jeff's net worth, we will deduct all his debts (liabilities) from his assets (his properties).

ASSETS

Savings Account - $6000

Investments - $15000

Guitar - $1000

TOTAL - $22000

LIABILITIES

Student loans - $17000

Credit Card Debt - $1200

Outstanding car payment - $3600

TOTAL - $21800

NET WORTH = Assets - Liabilities

NW = $22000 - $21800

NW = $200

His net worth is $200.

4 0
3 years ago
Beinggreat78 answer fast please :')
Virty [35]

Answer:

A.

Step-by-step explanation:

The radius is always half the diameter

6 0
2 years ago
HELP ASAP 100point's ILL GIVE YOU BRAINLIEST!!!!! 1. Which of the following questions can be used to collect statistical informa
Nuetrik [128]

A) not statistical because there is one correct response, the presidents name.

B) not statistical , because it is a single person answering.

C) Statistical because the number can be change and be used to determine what percent of the population has brown eyes.

8 0
3 years ago
Read 2 more answers
Other questions:
  • 2.2 • 10^6 - 4.3 • 10^5 = ?
    6·2 answers
  • IF 24 IS ADDED TO A NUMBER, IT WILL BE 3 TIMES AS LARGE AS IT WAS ORIGINALLY. FIND THE NUMBER
    12·1 answer
  • What is the value of the variable
    10·1 answer
  • What is the common difference between the elements of the arithmetic sequence below?
    15·2 answers
  • A sample of n = 25 n=25 diners at a local restaurant had a mean lunch bill of $16 with a standard deviation of σ = $ 4 σ=$4 . We
    9·1 answer
  • Please help me out thank you
    13·1 answer
  • A bed room set is being sold for $5500 if bought cash​
    10·1 answer
  • I GIVEEEE BRAINLILSTT
    15·1 answer
  • Plz help I need help
    8·1 answer
  • A company makes paper labels for paint cans. As shown below, each can is in the shape of a cylinder
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!