A section in a stadium has 20 seats in the first row, 23 seats in the second row, increasing by 3 seats each row for a total of 38 rows. How many seats are in this section of the stadium?

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Q: There are 20 seats in the front row of a theater. Each successive row contains two more seats than…

A: The number of seats in the first row =20 Since each successive row contains two more seats than the…

Q: In a large garden consisting only of roses and tulips, $$76\%$$ of the roses and $$18\%$$ of the…

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Q: A theater has 25 seats in the first row and 35 rows in all. Each successive row contains one…

A: From the given information, it is observed that First row - 25 seats 2nd row - 26 seats.  (25+1) 3rd…

Q: How many three digit numbers have the property that the sum of that number and the three digit…

A: How many three digit numbers have the property that the sum of that number and the three digit…

Q: an auditorium has 45 seats in the 1st row, 52 seats in the 2nd row, 59 seats in the 3rd row, and so…

A: Given 45,52,59,............ To find : Number of seats in 35th row Given expression is in…

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Q: If there are 12 teams in a basketball tournament and each team must play every other team in the…

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Q: A pianist plans to play 4 pieces at a recital from her repertoire of 27 pieces. How many different…

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Q: The sum of three succeeding odd integers is 75. The largest interger is

A: Given that the sum of three succeeding odd inter is 75 To find the largest integer

Q: There are 8 members on a board of directors. If they must form a subcommittee of 6 members, how many…

A: Given,   There are 8 members on a board of directors. If they must form a subcommittee of 6 members.

Q: In a class of 60 students,each of the students passed either in mathematics or in science or in…

A: Given: Total number of students passed either in mathematics or in science or in both=60 Students…

Q: An amphitheater has 15 seats in the first row and gains 4 additional seats in each successive row.…

A: Sum of the Arithmetic Series is n(a1+an)/2. Here, n is the number of terms a1 is the first term an…

Q: A theater has 20 rows with 31 seats in each row. Estimate the number of seats in the theater.

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Q: A movie theater has 180 seats. How many rows of seats does it have if the first row has 12 seats and…

A: Given,         A movie theater has 180 seats. The first row has 12 seats and each succeeding…

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Q: The first ten rows of seating in a certain section of a stadium have 30 seats, 32 seats, 34 seats,…

A: Given: he first ten rows of seating in a certain section of a stadium have 30 seats, 32 seats, 34…

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Q: A college team plays 8 basketball games during an intramural. In how many ways can the team end the…

A: Permutation of r objects from n objects is when, r number of objects are selected from the n objects…

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Q: A concert hall contains 8 sections of seats with the same number of seats in each section if there…

A: Ans. 31

Q: A team plays 15 games a season. In how many ways can it have 8 wins and 7 losses?

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Q: A theater has 30 seats in the first row, 32 seats in the second row, in- creasing by 2 seats each row…

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Q: There are 12 teams in a league. How many games are played if every team plays each other twice?

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Q: In a round-robin tennis tournament, every player meets every other player exactly once. How many…

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Q: A volleyball league consisting of 15 teams, each team plays each of the other teams exactly twice.…

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Q: Each marble bag sold by Dale's Marble Company contains 5 yellow marbles for every 4 red marbles. If…

A: Given, Each marble bag sold by Dale's Marble Company contains 5 yellow marbles for every 4 red…

Q: A theater has 30 seats in the first row, 32 seats in the second row, increasing by 2 seats per row…

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Q: In an amphitheatre, seats are arranged in semicircular rows facing a domed stage. The first row…

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Q: A theater has 12 seats in the first row. Each row, moving back, increases by two seats. How many…

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Q: From the digits 2, 4, 6, 8, 0 how many number greater than 60, 000 can be formed? (a digit can only…

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Q: A pianist plans to play 5 pieces at a recital from her repertoire of 18 pieces. How many different…

A: Given :  A pianist plans to play 5 pieces at a recital from her repertoire of 18 pieces.  Use…

Q: A pianist plans to play 5 pieces at a recital from her repertoire of 20 pieces. How many different…

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Q: For every 19 red tiles used, 8 blue tiles are used. If a total 567 tiles are used, how many of them…

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Q: A city currently has 125 streetlights. As part of a urban renewal program, the city council has…

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Q: The first row of a conference hall has 8 chairs and 2 additional chairs in each subsequent row. How…

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Q: A pianist plans to play 6 pieces at a recital from her repertoire of 26 pieces. How many different…

A: In this case arrangement matters.  So we will use the permutation method.  He has to pick 6 pieces…

Q: There are 5 runners on each relay- race team. The first member runs 30 miles. Each team member runs…

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Q: there are 19 members on a board of directors. If they must form of a subcommittee of 4 members ,how…

A: Given that the total number of members on a board of directors is 19. They must form a subcommittee…

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.