4. Suppose you decide to arrange tables in a square configuration with only a single row of tables on the ed square. As the arrangements increase in size, a square on the inside. Chairs will not be set in this space. ge of the square. Chairs will be set on only the outside of the there will be open space in the shape of a. Study the first two possible arrangements and then draw the next two in the sequence b. Generalize the number of chairs needed for n tables. Consider using an approach e the one shown in the section in which we determined how many chairs are needed for tables of a certain type. In this problem, there are corner tables and the interior tables are between the corner tables. Write an expression for the number of chairs and simplify it

Q: How many five-letter sequences are possible that use the letters q, u, a, k, e, s at most once each?

A:

Q: If the first two terms of a Fibonacci sequence are 32, 83, then what is the next term ?

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Q: For the sequence defined by: a1 = 2 5 - 1 an+1 = Find: a2 az = a4 =

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Q: For the sequence defined by: ai = 3 1 + 4 An ап +1

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Q: The second term of a GP is 24 and the sixth term is 121.5, the first term of the sequence will be A.…

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Q: List the first five terms of the sequence. a1 = 6, an+1 5an 5a,-

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Q: Given the sequence defined by b n= (−1) n-1n, which terms are positive and which are negative?

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Q: For the sequence defined by: a1 = 4 - 2 an an+1 Find: a2 : = az a4

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Q: Let Fib(n) be the nth term of the Fibonacci sequence with Fib(2)= 1, Fib(3) =1, Fib (4)=3 and so on,…

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Q: If an arithmetic sequence has terms as = 20 and ag = 36, what is a15? 50 O 56 O 60 O 80

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Q: For the sequence an an –1+ an – 2 and a1 = 5, az = 6, = | its first term is its second term is its…

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Q: F29 * 3 -( 3

A: We know that, nth Fibonacci number is given by the formula Fn=151+52n-1-52n

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Q: 8. Use a difference table to predict the next term in the sequence. 1, 14, 51, 124, 245, 426, ...

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Q: The second term of a GP is 24 and the sixth term is 121.5, the first term of the sequence will be А.…

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Q: Construct a difference table to predict the next term of each sequence 9,4,3,12,37,84

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Q: If you are going to fill up all the squares in a chessboard. By filling up the first square with…

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Q: The second term of a GP is 24 and the sixth term is 121.5, the first term of the sequence will be

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Q: (2n + 1) ifn is divisible by 4 18. a 21 if n is not divisible by 4

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Q: Given a and b, suppose that three numbers are inserted between them so that the five numbers form a…

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Q: For the sequence defined by: ai = 2 1 + 5 An аn + 1 — Find: a2 az = a4 = II

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Q: For the sequence an = An –1+ an – 2 and a1 = 3, az = 4, its first term is its second term is its…

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Q: If in an arithmetic sequence az =800, a, = 6400, S, =32500, d=700, then the value of n is:

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Q: For the sequence defined by: a1 = 4 an +1 - + 4

A: Given,          The sequence is defined by :            a1=4            an+1=5an+4

Q: Since the order that the letters are picked matters, the number of possible sequences can be counted…

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Q: c) How many 8-digit sequences are there involving exactly six different digits?

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Q: For the sequence defined by: a1 = 2 2 An+1 = an - 5 Find: az = az = a4 =

A: Given : a1 = 2an+1 = 2an - 5

Q: (2) Identify the next likely term in the sequence and the type of sequence: 5000, 2000, 800, 320,…

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Q: n a theatre, there are 15 seats in the first row, 19 seats in the second row, 23 seats in the third…

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Q: Compute the missing terms in the arithmetic sequence. 72, **** 1)..., 24,

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Q: How many four-letter sequences are possible that use the letters c, r, h, e once each?

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Q: 11. Given that term 1 is 17 and the common difference is 4, find the number of terms in the sequence…

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Q: For the sequence defined by: 2 1 - 3 An a1 || аn +1 Find: a2 az = a4 = II

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Q: A sequence a1, a2, a3,.... satisfies the property that an+1 is the average of the first n terms if…

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Q: Find as of the geometric sequence if a1 = 3 and r=7.

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Q: Provide a simple formula or rule that generates the terms of an integer sequence 2, 16, 54, 128,…

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Q: If a sequence has 6 letters with each letter either A or B, how many sequences have more As than B…

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Q: Generate the 5th 11th terms of a sequence if A1 2 and A(n+1) = (An)² – 1.

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Q: If 40 participants are randomly selected to 4 groups of 10, does the 40 comes first in the sequence:…

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Q: Find the generating function of the sequence Un = n2

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Q: List the first five terms of the sequence: a1 = 2, az = 1, An+1 = An аn-1 %3D -

A: