1. There are 28 logs in the bottom layer of a pile of logs, 27 in the nextlayer, 26 in the next, and so on to the top which has 1 log. How manylogs are there in the 15th layer?2. A pile of soft drink bottle caps has 1 cap on the top layer, 2 caps on thenext layer, 3 caps on the next layer and so on. How many caps are therein the pile if it contains 26 piles?

Name: 1. There are 28 logs in the bottom layer of a pile of logs, 27 in the
Uploaded: 2024-03-20T06:38:58.000Z
Channel: Bartleby
Description: 1. There are 28 logs in the bottom layer of a pile of logs, 27 in the nextlayer, 26 in the next, and so on to the top which has 1 log. How manylogs are there in the 15th layer?2. A pile of soft drink bottle caps has 1 cap on the top layer, 2 caps on

As per bartleby guidelines for more than one question asked only first is to be answered, please…

Answered: 1. There are 28 logs in the bottom…

Math

Algebra

1. There are 28 logs in the bottom layer of a pile of logs, 27 in the next layer, 26 in the next, and so on to the top which has 1 log. How many logs are there in the 15th layer?

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

See similar textbooks

Related questions

Q: How many ways can 6 boys stand in a line if a certain boy must come first?

Q: How many ways can 2 students be selected from a group of 5 students if order matters?

A: Solution-: We find number of ways 2 students be selected from a group of 5 students if order…

Q: How many ways can 6 ladies be seated in a circular table such that 2 of the ladies must always sit…

A: To find: The number of ways to arrange 6 ladies in a circular table such that 2 of the ladies must…

Q: How many ways are there to choose a committee of 4 members, 2 men and 2 women, from 5 fraternal…

Q: A team composed of two grade 11 and two grade 10 students is to be sent to a debate contest. If…

A: The provided information is There are Two grade 11 and two grade 10 students There are also 60…

Q: How many ways can we assign 124 students to 4 sections in such a way that Section 1 must have at…

A: Given: There are 124 students and 4 sections Section 1 must have at least 30 students, section 2…

Q: How many ways can three people be selected from a group of seven people if order DOES matter

A: Given that, Total number of peoples = 7

Q: How many ways exist to arrange 7 books (A, B, C, D, E, F, and G on the shelf, if the books B and

Q: License plate tags in a particular state are to consist of 3 letters followed by 4 digits with…

A: License plate tags in a particular state are to consist of 3 letters followed by 4 digits with…

Q: in how many ways can 5 starting positions on a basketball team be filled with 12 men who can play…

Q: How many ways can 4 books be arranged on a shelf if the books are selected from a collection of 100…

A: Here we will use the concept of permutation Permutation = nPr = n!/(n-r)!

Q: There are 12 different books on a shelf. In how many ways can we take 4 of these books and put them…

A: Combination: A combination is a grouping or subset of items. for a combination, the order not…

Q: There are a 100 marbles in a bag. Among the 100 marbles, there are marbles of 5 different colors…

A: Given::- There are a 100 marbles in a bag. Among the 100 marbles, there are marbles of 5 different…

Q: 10. There are 11 women and 9 men in the math department. (a) How many ways can a committee of 4…

A: The combination rule of counting is used when the order of selection does not matter. So the number…

Q: elected fr

Q: How many ways that 2 girls and 4 boys can fall in a line of there must be a girl and a boy in the…

Q: Suppose that I have 250 pieces of candy, I randomly pick 15 of them from the bar and so over that 6…

Q: From the digits 4,3,6,1,5 and 7. How many 4 digit numbers can be made w/o repetition that are more…

A: The number of permutations of n objects taken r at a time is determined by the following formula:…

Q: There are 4 routes from A to B, 8 routes from B to C, and 12 routes from C to D. How many routes are…

A: Given : The number of routes from A to B is 4 The number of routes from B to C is 8. The number of…

Q: Example 52. A committee consisting of 5 members is to be formed out of 6 men and 4 women. How many…

Q: There are 24 books on a shelf. How many ways are there to choose 10 of them so that no two of the…

Q: In an apartment complex with 10 mailboxes, in how many ways can a mail carrier distribute 10 letters…

A: The formula for finding the one addressed to each box such that at least one letter is put into the…

Q: Sri and her father are piling logs at their backyard. The first layer has 15 logs, the fifth layer…

A: Given Data: Number of logs in the first layer a1=15 Number of logs in the first layer a5=7 Total…

Q: Suppose that a department contains 10 men and 15 women. How many ways are there to form a committee…

Q: Suppose that a department contains 9 women and 15 men. How many ways are there to form a committee…

A: Given:Total women = 9Total men = 15Total committee members required = 7Condition: The committee must…

Q: Six numbered marbles are to be placed into three bags so that there are two marbles in each bag. How…

A: We have given that There are six marble into We have to place it into 3 bag

Q: .. Five girls and three boys should be seated in line so that there are no two boys sitting next to…

Q: In a certain company 80 of the employees are men. What is the total number of employees if 5 out of…

A: given In a certain company 80 of the employees are men. To Determine the total number of employees…

Concept explainers

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

Topic Video

Question

1. There are 28 logs in the bottom layer of a pile of logs, 27 in the next
layer, 26 in the next, and so on to the top which has 1 log. How many
logs are there in the 15th layer?
2. A pile of soft drink bottle caps has 1 cap on the top layer, 2 caps on the
next layer, 3 caps on the next layer and so on. How many caps are there
in the pile if it contains 26 piles?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Sequence$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

Similar questions

What if the jelly bean machine gives 9 jelly beans to the first customer who put in a coin, 13 to the second, 17 to the third, 21 to the fourth, etc. How many jelly beans will the machine give out if the machine will receive its 35th coin?How many has the machine given out after 35 coins are put into the machine?
That is a lot of passwords! How many passwords would the website have if users were allowed to reuse the letters and numbers? (Enter the number of successful outcomes in each of the blanks below. Let the first six spaces represent letters and the last two spaces represent numbers) Answer • Answer • Answer • Answer • Answer • Answer • Answer • Answer = 30,891,577,600 That is almost Answer billion passwords!
A total of 50 students are in a class and they are to be divided into groups of 5. How many different combinations of students are possible?
How many words are formed from all letters of the word MISSISSIPPI that not contain 4 consecutive Ss and not contain 2 consecutive Ps?
How many committees of 4 can be made from a group of 20 republicans and 15 democrats if at least 1 republican and at least 1 democrat must be on the committee?
6. From the digits 0, 1, 2, 3, 4, 5 and 6, how many three digits numbers can be performed if no digits may be repeated?
1. Once a month, a man puts some money in a cookie jar. During the 1st month he has P10.50 and each month he adds P0.50 more into the jar. How much money was placed in the jar during the last month of the 4th year?2. The seats in a theater are arranged so that there are 70 seats in the 1st row, 72 seats in the 2nd row and so on for 30 rows altogether. How many seats in all are there in the theater?
There are 9 periods in each working day of a school. In how many ways can one organize 5 subjects such that each subject is allowed at least one period?
a committe of 5 people is to be chosen from a group of 6 men and 4 women how many committed are possible if there are to be 3 men and 2 women
2. (a) A sack contains 50 marbles of 4 different colors. Explain why there are at least 13 marbles of the same color. (b) If exactly 8 of the marbles are red, explain why there are at least 14 of the same color.
In how many ways can 5 starting positions on a basketball team be filled with 8 men who can play any of the positions?
I have a set of 27 students. How many times can I form groups of 3?