Find the number of length-7 sequences from the numerical digits {0,1,2,3,4,5,6,7,8,9} such that the sequence uses exactly 4 different digits.

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

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Q: (4) Find the sum of the sequence in (2) to an infinite number of terms.

A: identify the series

Q: How many three-letter sequences are possible that use the letters c, o, j, w, x at most once each?…

A: Total given letters  c , o , j , w , x Which is 5 letters

Q: How many ordered sequences are possible that contain four objects chosen from thirteen?

A: According to the given information in this question We need to find the value P( 13,4)

Q: Determine the nth-term formula for the given sequences, then compute for the 50th term. 9. 1,5, 11,…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Can you find a formula or rule for the nth term of a se- quence related to the prime numbers or…

A: The formula for nth term of sequence for given problems are given in step 2.

Q: Provet is a core sequence of tournament the n

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Q: Find at least three different sequences beginning with the terms 4, 8, 16 whose terms are generated…

A: Given that  The sequence   4,8,16

Q: Find at least three different sequences beginning with the terms 1, 3, 9 whose terms are generated…

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Q: Suppose that the sequence {ak}1 is 2, 4, 6, 8, 10, 12, 14, 16, . What is a,?

A: we have the given sequence 2,4,6,8,10,12,14,16,...

Q: How many ordered sequences are possible that contain nine objects chosen from fifteen?

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Q: determine the closed formula that generates the sequence 1,2,4,8,16,32

A: The given sequence in the question is:

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: Find the term indicated in each of the following arithmetic sequences.  1. 2 , 4 , 6 ...…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: How many ordered sequences are possible that contain two objects chosen from nine?

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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: Construct a difference table to predict the next two terms of the sequence

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Q: Find an increasing subsequence of maximal length and a decreasing subsequence of maximal length in…

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Q: 5. Describe four different rules for determining le next entries in the sequence that follows. Give…

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Q: The generating function of the sequence 4,4,4,4,4 is

A: # To find generating function of sequence  4,4,4,4,4,4 ??

Q: 9. Find the partial sum of arithmetic sequence of 25 terms starting with 5, 10, 15, 20,.........

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Q: Which sequence could be described by the first term: Aj = 1 and the recursive (an)² + 1 definition:…

A: Given, an+1=an2+1 a1=1

Q: 7. Use a difference table to predict the next term in the sequence. 2, 7, 24, 59, 118, 207, ...

A: We can solve the given problem using the concept of sequence of difference table.     According to…

Q: Terms of the sequence a1, a2, a3, . .. , a2020 are obtained by the rule: 1+a1 1+ a2 1+ a2019 az = 1-…

A: Reciprocal of a number n is 1n.

Q: How many ordered sequences are possible that contain fourteen objects chosen from fifteen?

A: To find the order of sequence are possible.

Q: How many four-letter sequences are possible that use the letters b, r, g, f once each? sequences

A: Explanation and solutions is given below....

Q: 6. Describe four different rules for determining the next entries in the sequence that follows. Give…

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Q: A ternary digit is either 0, 1, or 2. How many sequences of nine ternary digits are possible…

A: The ternary digit is either 0 or 1 or 2.

Q: Find at least three different sequences beginning with the terms 1, 2, 4, whose terms are generated…

A: According to the guidelines I am answering first question only . Kindly post other questions…

Q: How many ordered sequences are possible that contain 2  objects chosen from 9 ? ​

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Q: How many ordered sequences are possible that contain nine objects chosen from thirteen?

A: How many ordered sequences are possible that contain 9 objects from 13?

Q: Find an increasing subsequence of maximum length and a decreasing subsequence of maximum length in…

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Q: How many ordered sequences are possible that contain eight objects chosen from eleven?

A: Given that, Total objects = 11 Order matters

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

A: According to the given information in this question We need to find that how many four letters…

Q: How many four-letter sequences are possible that use the letters b, p, g, e once each? ?sequences

A: We have four letters and four places. Every sequence should contain every letter once.

Q: Find the sum of the finite arithmetic sequence. Sum of the integers from  −40 to 50

A: Given  Integer from -40 to 50

Q: Find the first 4 terms and the eighth term of the recursively defined sequence. C1 = 7, c2 = - 2,…

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Q: Find the first five terms of the recursively defined infinite sequence.

A: a1=2 , ak+1=akk

Q: Find the first 4 terms and the eighth term of the recursively defined sequence. C1 = 3, c2 = - 1,…

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Q: Suppose that the sequence {az}ı is k=1 1,3, 5, 7,9, 11, 13,.. What is a1?

A: First we find the general of the given sequence {ak}∞k=1=1,3,5,7,9,11,13,..., with the help of…

Q: 1.) Show that the sequence 2,11, 20, 29, ... is arithmetic.

A: we have to show that the given sequence is arithmetic

Q: 7. How many terms are there in the sequence 1,4,7,10,...,682?

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Q: 35. Prove that the sequence {n!}^, beats the sequence {2"}-1-

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Q: Construct a sequence having {0,1,3,6,20} as its set of accumulation points.

A: Construct a sequence a_n = { b1, c1, d1, e1, f1, b2, c2, d2, e2, f2, b3, c3, d3, e3, f3,....., bn,…

Q: Which of the foliowing sequence illustrates a Fibonacci sequence?

A: Follow the procedure given below.

Q: 5. Construct a difference table to predict the next term of a sequence 1, 7, 17, 31, 49, 71,...

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Q: Consider the sequence: 1536, 768, 384, 192, 96, . Determine the 9th term ... of the sequence.

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

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Q: What is the generating function for the sequence {ck},where ck is the number of ways to make change…

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Q: Construct a difference table to predict the next term of the sequence.   0, 10, 24, 56, 112, 190,…

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