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
Akimi4 [234]
3 years ago
8

What is the explicit formula that represents the geometric sequence -2, 8, -32, 128

Mathematics
1 answer:
lubasha [3.4K]3 years ago
3 0
a_n=a_1r^{n-1}\\\\a_1=-2;\ a_2=8;\ a_3=-32;\ a_4=128\\\\r=a_2:a_1\to r=8:(-2)=-4\\\\\boxed{a_n=-2\cdot(-4)^{n-1}}
You might be interested in
Katniss divided x^3+2x^2-3x-4 by x+1. she didnt get a remainder. do you agree with her?
Brilliant_brown [7]

ANSWER

Katnis is right

EXPLANATION

We use the Remainder Theorem to check if she is right.

According to the Remainder Theorem, if the polynomial function,

p(x) =  {x}^{3}  + 2 {x}^{2}  - 3x - 4

is divided by x+1, then the remainder is given by

p( - 1)

We substitute x=-1 into the function to obtain,

p( - 1) =  {( - 1)}^{3}  + 2 { ( - 1)}^{2}  - 3( - 1) - 4

We simplify to get:

p( - 1) =  -  1+ 2 (1)   + 3 - 4

p( - 1) = 4- 4

p( - 1) = 0

Katnis is right because the remainder is zero

3 0
3 years ago
A plumber chargers $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost,
daser333 [38]

25$ is the flat fee.  50$ is the amount charged per hour.  Therefore the equation is C=25+50h where c is the total cost and h is the amount of hours.  

C=25+50h

To find the amount of money for 8 hours simply plug in 8 for h and you get 400.  Don't forget to add the flat fee of 25.  The total cost for 8 hours of service is 425.

To find the amount of money for 10 hours of work, plug in 10 for h and you get 500.  Add 25 to 500 and you get 525 for a total of 10 hours of work.

Hope this helped...

3 0
3 years ago
Determine the relationship between the two triangles and whether or not they can be
Digiron [165]

Answer:

congruent by side angle side so the triangle is congruent

7 0
3 years ago
How to work out 1204 divided by 7
algol [13]
The answer is 172. hope that helps
7 0
3 years ago
pam has 3 times as many green beads as red beads and twice as many blue beads as green beads. She has 150 beads in total. How ma
lilavasa [31]
25
150 \div 3  =
answer
5 0
3 years ago
Other questions:
  • 3. A drone takes off from the base of a mountain at a height of 27 ft below sea level. The drone
    5·1 answer
  • Complete the rational operation <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7Bx%20-%205%7D%20%20-%20%20%5Cfrac%7Bx%7
    5·1 answer
  • 3 time y = 15.3
    9·1 answer
  • Deshaun and his wife are each starting a saving plan. Deshaun will initially set aside $750 and then add $135 every month to the
    15·2 answers
  • Trevon and Ming are selling cheesecakes for a school fundraiser. Customers can buy French silk cheesecake and apple cheesecake.
    12·1 answer
  • Use the coordinates of the labeled point to find a point-slope equation of the line.
    8·1 answer
  • 4. Solve 5x - 7x + 6 = -2(x - 3) *<br> (5 Points)<br> (5 Points)<br> 2<br> infinitely many solutions
    15·1 answer
  • 2x + 5y = 8<br> x - 2y = -5<br> Simultaneously pleasee
    5·2 answers
  • If 100 people have a certain disease out of 7,800,000,000 people. Then what percentage of the people have that disease
    9·1 answer
  • What can you conclude about the population density from the table provided? Population Area (km²) Region A 20,178 521 Region B 1
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!