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
djyliett [7]
3 years ago
13

A stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer. If the top laye

r has two​ logs, how many total logs are there in the​ pile?
Mathematics
1 answer:
Svetlanka [38]3 years ago
6 0

Answer:  The total number of logs in the pile is 6.

Step-by-step explanation:  Given that a stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer and the top layer has two​ logs.

We are to find the total number of logs in the pile.

Let n represents the total number of logs in the pile.

Since each subsequent layer has 6 fewer logs then the previous layer, so the number of logs in each layer will become an ARITHMETIC sequence with

first term, a = 32  and  common difference, d = -6.

We know that

the n-th term of an arithmetic sequence with first term a and common difference d is

a_n=a+(n-10)d.

Since there are n logs in the pile, so we get

a+(n-1)d=2\\\\\Rightarrow 32+(n-1)(-6)=2\\\\\Rightarrow 32-6n+6=2\\\\\Rightarrow 6n=36\\\\\Rightarrow n=6.

Thus, the total number of logs in the pile is 6.

You might be interested in
Larry runs a dog-walking service. He charges $5/h plus a flat fee of $6. One day, he earned $16. Determine which
frosja888 [35]

Answer:

5h+6=16

Step-by-step explanation:

He gets 6 dollars and for every hour he walks he gets 5 dollars so he must of walked dogs for 2 hours and plug it in you get your equation.

4 0
2 years ago
Read 2 more answers
9s + 29<br> what is the value of s
olga2289 [7]

Answer:

wheres the rest of the problem?

8 0
3 years ago
Read 2 more answers
Kali has a 20 foot ladder that she wants to use to get her cat out of a tree. She puts the base of the ladder 5 feet away from t
Musya8 [376]
A^2 + b^2 = c^2
5^2 + b^2 = 20^2
25 + b^2 = 400
b^2 = 375
b = 19.4 feet
3 0
3 years ago
What happens to the value of the expression 3e3e3, e as eee increases?<br> Choose 1 answer:
makkiz [27]

.ffffffffffffffffffffffffffffffffffffffffffffffff

7 0
3 years ago
Kathy organised a wedding , guests had to choose their meal from pasta , chicken or beef 1/3 chose pasta 5/12 chose chicken and
Ilia_Sergeevich [38]

so together the amount of people who chose beef should be 4/12 since you must find the greatest commen factor. Then you should add 4/12 and  24 im thinking and you would get 24.3333 but if your looking for a mix number it would be 24 3333/1000

hope this helps!


7 0
3 years ago
Other questions:
  • A driving moving at 22m/s stops the car in 2s. find the stopping distance
    7·1 answer
  • find the slope and y-intercept of the line that is parallel to y= -2x - 5 and passes through the point (-3,-3)
    12·1 answer
  • In a game if you roll 1 on a 6 sided number cube you lose a turn. Answer for a b and c and explain each answer show your work.
    14·1 answer
  • Diagram shows a framework consisting of 16 wooden rods. The length of each rod is 8 cm.
    10·1 answer
  • 1) - 2a - 3 = 8 - 8a
    9·2 answers
  • Find the horizontal distance! helppp
    12·1 answer
  • 9-9÷9+9-9÷9=??????<br><br><br> 25 points <br><br><br> and brainits for the first right answer
    5·2 answers
  • Answer and I will give you brainiliest ​
    14·2 answers
  • PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
    10·1 answer
  • Geometry help PLEASE!!!! 20 POINTS HELP!!’
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!