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
A package of 5 crackers contains 205 calories.how many calories are in one cracker
natulia [17]

The answer is 41

All u do  is divide 205 by 5 which will equal 41


6 0
3 years ago
Math unit rate can someone please help me
Finger [1]

Answer: All I know is C is one of them. I’m trying lol

Step-by-step explanation:

7 0
3 years ago
2. What is the equation of the line that passes through points (-8,3/2) and (-12, 5/2)
MissTica

Answer:

y=2x+17.5

Step-by-step explanation:

17.5=35/2

7 0
1 year ago
4<br> — = 16<br> M<br><br> Omg help me this is due tomorrow!!!
hichkok12 [17]

Step-by-step explanation:

4/m=16

4/m=16/1

16m=4

divide both sides by 16

therefore, m is equal to 0.25

5 0
3 years ago
Shape 1 and shape 2 are plotted on a coordinate plane. Which rigid transformation can you perform on shape 2 to show that shape
Aleksandr-060686 [28]
The answer is B. Take the same point on each of the figures and count how far they are away horizontally and vertically.
5 0
3 years ago
Other questions:
  • Pls help me with number 3
    14·2 answers
  • 1. Solve 49 square <br><br><br>2. Solve 64 square
    14·2 answers
  • Aunt Bea has 37 pigs and ducks oh her farm. In all, there are 116 legs. How many pigs and how many ducks does Aunt Bea have on h
    11·1 answer
  • Joe divided a candy bar into a equal pieces what fraction show how much candy each other for children's got
    5·1 answer
  • At a rugby match the ratio of children to adults is 2:3 .There are 80 children in the crowd .How many adults are in the crowd?​
    8·2 answers
  • Hi picture is up there thank you so much for the help.
    15·1 answer
  • What go in the empty spots
    15·1 answer
  • Given that
    14·2 answers
  • Solve the equation : 7(x + 6) + 7x = 9 options 2 5/14, -1 5/14, -2 5/14, 5/14
    15·1 answer
  • What is the place value in the 9 in the decimal 409.5
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!