Stadium Construction How many rows are in the cornersection of a stadium containing 2040 seats if the first row has10 seats and each successive row has 4 additional seats?

Q: A child building a tower with blocks uses 15 for the bottom row. Each row has 2 fewer blocks than…

A: Here the sequence of number of blocks in each row represents an arithmetic sequence with First…

Q: Marbles   A bag contains three red marbles, six green ones, one lavender one, five yellows, and six…

A: given a bag contains three red marbles , six green ones , ones lavender one, five yellows, and six…

Q: Ten honors students, each from a different high school in a county are lined up in two rows of five…

A: The main objective is to determine the number of arrangements under the given conditions. (a)…

Q: The Drury Lane Theater has 10 seats in the first row and 21 rows in all. Each successive row…

A: In the questions above

Q: A3. b. In how many ways can 7 children and 6 mother be arranged in a row so the 1- No two children…

A: 1. First, the number of ways the 6 mothers can sit is 6!. There are 7 spaces between the 6 mothers…

Q: Picking a blue marble three times in a row (replacing it in the bag each time) from a bag of 4…

A: Solution: Given data, Picking a blue marble three times in a row (replacing it in the bag each time)…

Q: You break your piggy-bank to discover lots of pennies and nickels. You start arranging these in rows…

A: a we will arrange 6 coins in each row. Now, Rows containing an equal number of pennies and nickels.…

Q: Harley collects sports cards. He has 900 football cards and 96 baseball cards. Harley plans to…

A: Largest number of cards that can be placed in each stack = hcf (900 , 96 )   900 = 2× 2 × 3×3×5×5 96…

Q: A large multiplex movie house has many theaters. The largest theater has 41 rows. There are 18 seats…

A: Convert the given problem into Arithmetic progression.

Q: An outdoor amphitheater has 29seats in the first​ row, 31 in the second​ row, 33 in the third​ row,…

A:

Q: A landscaper has 6 different flowering plants and 4 different non-flowering bushes. She needs to…

A: There are several powerful methods for counting objects and sets of objects without actually having…

Q: 15. An auditorium has 21 rows of seats. The first row has 18 seats, and each succeeding row has two…

A: Let, n : number of row       an: number of seats in nth row.       Sn: The sum of number of seats in…

Q: In a class, there are 27 seats in the first row and 2 seats more in the following row. How many…

A:

Q: You break your piggy bank to discover lots of pennies and nickels. You start arranging them in rows…

A: there are two type of coins Nickel and Pennies first calculate the number of rows  since each row…

Q: If no twin sits together, how many different ways may n twin sit in a row?

A: Given there are n twins condition is no twin is sit together So,  There are two possible…

Q: theater has 35 seats in the first row. Each row has four more seats than the row before it. How many…

A: For an arithmetic sequence, the common difference is calculated by subtracting two consecutive…

Q: A section in a stadium has 20 seats in the first row, 26 seats in the second row, increasing by 6…

A: We are given that a section of stadium has 20 seats in the first row and 26 seats in the second row…

Q: Q5. In how many ways can 7 men and 10 women sit in a row if the seat numbers 1-7 are for the men the…

A: Number of ways to allocate 7 men in seats 1-7 will be: Number of ways = 7!…

Q: The Drury Lane Theater has 18 seats in the first row and 30 rows in all. Each successive row…

A: The Drury Lane Theater has 18 seats in the first row and 30 rows in all.Each successive row contains…

Q: An algebra class has 6 students and 6 desks. For the sake of variety, students change the seating…

A: The number of seating combination is 6!=720 Each day the arrangement is changed thus all the…

Q: . Theater Seating An architect designs a theater with 15 seatsin the first row, 18 in the second, 21…

A: The number of seats in the subsequent row is given as, 15, 18, 21,…… The number of seats is in…

Q: ways can they sit in a row if just the girls are to sit togetne. How many different signals, each…

A: Combination:The number of different selections of ‘r’ elements from a set of ‘n’ elements is denoted…

Q: 1. A farmer planted a crop of corn in one of his fields. There are 4816 stalks of com in equal rows.…

A: Total number of stalks of corn in the field, X=4816 stalks. Number of stalks of corn in each row,…

Q: A section in a stadium has 25 seats in the first row, 31 seats in the second row, increasing by 6…

A: Solution of this question is

Q: - A farmer needs to plant 135 yellow pepper plants and 210 red pepper plants. He wants to plant them…

A: Number of yellow pepper plants =135 Number of red pepper plants =210 The farmer wants to plant in…

Q: Eight people are going for a ride in a boat that seats eight people. One person will drive, and only…

A: Given an eight seater boat. We need to find number of seating arrangements possible for 8 people…

Q: Football Stadium The corner section of a footballstadium has 15 seats in the first row and 40 rows…

A: Let an be the number of seats in the nth row. Since the first row has 15 seats and each successive…

Q: A section in a stadium has 24 seats in the first row, 28 seats in the second row, increasing by 4…

A: to find:- total seats.

Q: The Drury Lane Theater has 17 seats in the first row and 28 rows in all. Each successive row…

A:

Q: You break your piggy-bank to discover lots of pennies and nickels. You start arranging these in rows…

A: Given:-Two types of coins→pennies & nickels arranged                 in row of  6 coinsFormula…

Q: A theater has 32 rows. The first row has 18 seats, and each row that follows has three more seats…

A: Given A theater has 32 rows. The first row has 18 seats, and each row that follows has three more…

Q: An ice cream store stocks 30 different flavors and offers rainbow banana boat split that contains 3…

A: Given, An ice cream store stocks 30 different flavors  It offers rainbow banana boat split that…

Q: Six juniors and five seniors form a committee.  The committee needs a group of four people to work…

A:

Q: The Drury Lane Theater has 13 seats in the first row and 25 rows in all. Each successive row…

A: Definition used -                 the nth term of an arithmetic sequence is given by -…

Q: Baseball games consist of nine innings. A team wants to change its line-up every inning. If no game…

A:

Q: books are arranged in a display that has 4 rows. each row has one more book than. the row above it.…

A: Books are arranged in a display that has 4 rows. Each row has one more book than the row above it…

Q: A theater has 20 rows of seats. If there are 4 seats in the 1st row 12 in the 2nd row, 20 in the 3rd…

A: Given

Q: A garden has 2 rows. The first row has 5 kinds of seeds. The second row has 4 kinds of seeds. In how…

A: We can use combinations to answer this question. The first row has five kinds of seeds and the…

Q: A football stadium has 25 sections of seating. Each section has 44 rows of seats, with 22 seats in…

A: A football stadium has 25 sections of seating. Each section has 44 rows of seats, with 22 seats in…

Q: A teacher is organizing a seating plan for the students in the first row.  The first row has either…

A: As per given by the question, Teacher organizing the seating plan for student in the first row and…

Q: 5. A concert hall is constructed so that each row has 5 more seats than the row in front of it. If…

A: The given data is: Each row has 5 more seats than the row in front of it. The number of seats in the…

Q: Students of a class are made to stand in rows .If one student is extra in row,there would 2 rows…

A:

Q: The Drury Lane Theater has 25 seats in the first row and 30 rows in all. Each successive row…

A:

Q: A Horse Race has 12 horses.   How many different ways can the horses finish the race such that…

A: Solution:   Find the number of different ways in which the horses finish the race such that Grand…

Q: theater has 41 rows of seats. If there are 22 seats in the 1st row, 26 in the 2nd row, 30 in the 3rd…

A:

Q: A pizza parlor offers 12 toppings. a. How many 7-topping pizzas could they put on their menu? Assume…

A: (a) we can choose 7 toppings for the pizza from 12 toppings in 12C7 = 792 different ways.     Hence,…

Q: An algebra class has 9 students and 9 desks. For the sake of variety, students change the seating…

A: The number of seating combination is 9!=362880 Each day the arrangement is changed thus all the…

Q: A restaurant provides a brunch where the omelets are individually prepared. Each guest is allowed to…

A: Given that there are 7 different ingredients. When a person orders an omelet then he has 2 options…

Q: An algebra class has 12 students and 12 desks. For the sake of variety, students change the seating…

A:

Q: Drive-In Theater A drive-in theater has spaces for 20 cars inthe first parking row, 22 in the…

A: Let's write an arithmetic sequence formula to represent this: an=20+2n-1 In the 21st row there are:…

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.