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
Alexeev081 [22]
3 years ago
11

A pendulum swings 80 cm on its first swing, 76 cm on its second swing, 72.2 cm on its third swing, and 68.59 cm on its fourth sw

ing. Complete parts a and b below.
a. If the pattern continues, what explicit formula can be used find the distance of the nth swing?
Mathematics
1 answer:
Kisachek [45]3 years ago
7 0

Answer:

a_{n} = 80*(0.95)^{n-1}

Step-by-step explanation:

Geometric sequences:

The nth term of a geometric sequence is given by the following equation.

a_{n+1} = ra_{n}

In which r is the common ratio.

This can be expanded for the nth term in the following way:

a_{n} = a_{1}r^{n-1}

In which a_{1} is the first term.

In this question:

a_{1} = 80, r = \frac{68.59}{72.2} = \frac{72.2}{76} = \frac{76}{80} = 0.95

a. If the pattern continues, what explicit formula can be used find the distance of the nth swing?

a_{n} = a_{1}r^{n-1}

a_{n} = 80*(0.95)^{n-1}

You might be interested in
Someone help please !!
alekssr [168]

A = 1/2 bh

multiply each side by 2

2A = bh

divide each side by b

2A/b =h

The height of a triangle is equal to twice the area A divided by the base ,b.

8 0
3 years ago
Read 2 more answers
A stock sale of 100 is called
Mars2501 [29]
A is da answer I thank
6 0
3 years ago
the temperature on planet a is -82 degrees Fahrenheit. The Temperature on planet b is 12.6 times colder. what is the temperature
matrenka [14]
The temperature on planet B is -2132
8 0
3 years ago
maria cuts 56.5 inches from a ball of yarn that is 192 inches long. How much yarn is left on the ball?
Amiraneli [1.4K]

Answer:

135.5

Step-by-step explanation:

192-56.5= 135.5

7 0
3 years ago
Three consecutive integers have a sum of 42 . Find the integers.
Masteriza [31]
The three consecutive integers are13 14 and 15.
3 0
3 years ago
Other questions:
  • What is 4th cube number
    9·1 answer
  • Elena has a bottle that has a capacity of 34 quarts. What is the maximum amount of liquid that can be stored in this bottle?
    13·1 answer
  • 7- square root of 3i
    7·2 answers
  • A solid is bounded below by the cone, z=x2+y2, and bounded above by the sphere of radius 2 centered at the origin. Find integral
    6·1 answer
  • a cylindrical paint roller has a length of 10 inches and a diameter of 1 1/2 inches. As the roller is dragged along a wall, if i
    7·1 answer
  • At Sara's new job she spent $11.52, $6.48, $5.99, $14.00, and $9.50 on lunch the first week. In the second week, she spent $4 mo
    7·2 answers
  • i need help asap!! Which number below is an irrational number? 4.5679325... 3.25 none of the above
    11·2 answers
  • a certain star is 4.4x10^2 light years away from the sun one light year is about 5.9x10^12. how far from the earth in miles is t
    5·1 answer
  • The sum of two The perimeter of a rectangle is 30cm. If the length is 3 cm longer than the width, find
    5·1 answer
  • SOmeone help me i'm stuck on thia question
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!