The numbers of seats in an arena form an arithmetic sequence. If there are 23 seats in the second row and 26 in the third, how many seats are there in the sixteenth row? Find the total number of seats in the first sixteen rows. Explain each step.

Q: What’s next in this number sequence: 7, 9, 22, 72, 296, x?

A: Given sequence is,7,9,22,72,296, x?We have to find value of x.

Q: Find the next term in the sequence 7, 14,21,35,56,91

A: The sequence 7, 14, 21, 35, 56, 91

Q: Find the next two numbers in the sequence below: 2, -6, 12, -20, 30, -42,

A: Solution-: We want to find the next two numbers in the sequence below: 2, -6, 12, -20, 30, -42,

Q: A theater has 26 rows of seating. The first row has 18 seats. The second has 20 seats. The third has…

A: Given: A theater has 26 rows of seating. 1st row =18 seats 2nd row=20 seats 3rd row=22 seats and so…

Q: A display of cans in a grocery store consists of 18 cans in the bottom row, 15 cans in the next row,…

A:

Q: Adiel made a toothpick pattern with 9 toothpicks in the 1st figure, 14 in the 2nd figure, 19 in the…

A: Create a table.

Q: Find the infinite geometric sum if a1=-3, r=1\2

A:

Q: egrand as a sum of

A:

Q: Find the sum of the first 4,000 odd numbers.

A: Sum of first 4000 odd numbers can be calculated by using AP as follows                AP   1,…

Q: Complete the next two equations of this sequence: 1=1 1-4+-3 1-4+9=6 1-4+9-16=-10

A:

Q: Find the sum of: a 25+5+1++

A: We have to calculate the sum:  25 + 5 + 1 +1/5 + ... We can see that each succeeding term is…

Q: If an+1 4a, is the difference equation for a sequence which begins with ao = 2 then what are each of…

A:

Q: Three-Forths of the people at a concert are  children. If there are 87 children, what is the total…

A: Let the total number of people at the concert be x.Three-forth of x=3x4

Q: A large auditorium has 90 rows of seats. The first row has 20 seats, and each succeeding row has 3…

A: Given query is to find number of seats in the auditorium.

Q: 0,1,4,9_,_,_ pattern: find the sequence

A:

Q: For the arithmetic sequence, find and when a1 4 and d = - 5. %3D a11 an a11 -

A: first term a1 = 4 common difference d =-5

Q: Find the next two terms of the sequence: 5,12,19,26,33,40

A: The difference between the numbers is as follows:

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…

Q: Driving down Main Street, you go through three intersections where there are traffic lights. Each…

A:

Q: Mikayla is building a pyramid of paper cups. The bottom row has 61 cups while the top row has only…

A: Explanation of the answer is as follows

Q: Find the next number in the sequence 10, 37, 82, 145, 226

A:

Q: Shots in a video game are either hits or misses. How many sequences of 8 shots in this game consist…

A: Given : Shots in a video game are either hits or misses.    Combination : The number of ways to…

Q: List the first five terms of the sequence. a1 = 4, an + 1 = 2a, + 6 %3D %3D

A: Given  a1=4,  an+1=2an+6

Q: Find the next term in the sequence A1, C8, E27, G64, I125,

A:

Q: Draw a sequence of matchstick figures and describe the pattern in words.  Find as simple an…

A: To draw the pattern first think of an arithmetic sequence. An arithmetic sequence is a sequence…

Q: Sanjay's workday varies between 5 and 8 hours in length, based on the day's workload. If you make a…

A: calcxulation of above requirement with proper explanation are as follows

Q: A boy gets 3 marks for each correct sum and loses 1 mark for each incorrect sum. He does 25 sums and…

A: Simple equation

Q: Connnors mom bought 2 bags of candy to be divided among the 14 kids at a party.one bag of candy…

A:

Q: Mike made a number pattern by starting with the number 18 then adding 5 until he reached 688. How…

A: Given that  Mike made a number pattern by starting with the number 18 then adding 5 until he reached…

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.