he hexadecimal digits are as follows: 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F. How many different sequences of 5 hexadecimal digits are possible? A digit may repeat.

Q: The 2 – tail of the sequence Y = (1, 3, 5, 7, 9,... , 2n – 1, . ..) is: O Y = (7,9,..., 2n + 5, ...)…

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Q: Make up sequences that have a) 3, 3, 3, 3, … as its second differences. b) 1, 2, 3, 4, 5, … as its…

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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: The first eight terms of a sequence are as follows: 2, 6, 12, 20, 30, 42, 56, 72, Find a closed…

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Q: 2. Which sequence has a common difference of -8? {1, -8, 64, -512, 4,096, ..} {536, 528, 520, 512,…

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Q: Study this sequence of numbers: 3, 4, 7, 11, 18, 29, 47, 76. Note that 3 + 4 = 7, 4 +7 = 11, 7+ 11 =…

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Q: 79. In Exercise 103 from Section 11.3, we learned that if a fair coin is flipped n times, the number…

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Q: What is the seventh term of Fibonacci sequences: 1. 5, 10, 30, 120,... 2. 2, 1, 1/3, 1/12,...

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Q: What is the most probable next number in the sequence?…

A: Given sequence is 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, ...

Q: How many four-letter sequences are possible that use the letters d, k, m, t, v at most once each?

A: Given  n=5 r=4 to calculate, P(n,r)

Q: A coin is tossed 7 times and the sequence of heads and tails are observed. How many different…

A: In order to obtain the number of sequences of at least 3 heads, subtract the number of sequences for…

Q: difference table

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Q: Choose the sequence that has a first term of 6 and a difference of 9. O 6, 54, 486, 4374, 39,366,…

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

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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: A board is made up of 9 squares. A certain number of pennies is placed in each square, following a…

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Q: What are the first 5 terms in the sequence an = 2n + 8 O 2, 10, 18, 26, 34 O 10, 12, 14, 16, 18 О 8,…

A: Given an=2n+8.

Q: If a coin is tossed 11 times, find the probability of the sequenc

A: Every coin has two outcomes head or tail.    So number of outcomes when the coin is tossed 11 times…

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

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Q: Determine the pattern and find the missing terms in each of the following sequences. 1. 2, 5, 10,…

A: A) 1.   This sequence  has terms  which are incremented by odd numbers starting  from…

Q: Find the three next n-term of the sequence: 1. 2, 5, 8, 11, 14… 2. 9, 18, 27, 36, 45… 3. 13, 14, 15,…

A: 1. 2, 5, 8, 11, 14… 2. 9, 18, 27, 36, 45… 3. 13, 14, 15, 16 17...

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: 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: Select all sequences that will contain infinitely many square numbers. А. а, — п В. а, — 4n + 1 C.…

A: We have to check which of the given sequence contains infinitely many square numbers. (A) Given an=n…

Q: Carson's computer has 59.5 gigabytes of available space. Every movie that is downloaded occupies an…

A: Given, Space available= 59.5 GB Storage of every movie downloaded= 1.5 GB

Q: Construct a difference table to predict the next term of the sequence. 1, 8, 20, 37, 59, 86, . ..

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Q: what is the notation in sequences? Expaln it.

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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: 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 two objects chosen from five? ordered sequences

A: Given: The total number of objects is 5   Permutations of n object taken r at a time in ordered…

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

A: Total objects, n = 11 r = 5 Ordered sequences

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: Find the number of length-7 sequences from the numerical digits {0,1,2,3,4,5,6,7,8,9} such that the…

A: Combination(Selection): It refers to the situation where order of occurrence of event does not…

Q: Construct a difference table to predict the next term of the sequence. −1, 3, 21, 58, 119, 209,…

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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: a sequence having {2,3,5,11,13} as lts set öf points.

A: Explanation of the answer is as follows

Q: 1, 8, __, 64, __, 216,.. 27, 30, __, 36, ___,.. 41, __, 37, 35, 33,..

A: As per bartleby guidelines only first three subparts are to be solved , please upload other…

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

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Q: What formula is needed to get each of the following sequences from 1, 2, 3, 4, 5,….? a. 11, 12, 13,…

A: A.   To convert the number 1 to 11, we need to add 10 to it. And similarly add 2 to 10 to get 12 and…

Q: How many 7-letter sequences can be made using the letters in the word U R U G U A Y exactly once…

A: We have to find number of permutations possible.

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: How many different arrangements are there of the 8 letters in the word RELEASED in which the letters…

A: Here Given Word RELEASED So Here Number of letters in word=8

Q: Determine the pattern and find the missing terms in each of the following sequences. 8, 5, 4, 9, 1,…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: possible that contain six objects chosen from seven? ?ordered sequences

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

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

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.