Find the next two terms in this sequence. 1,3,9,27,81,[ ? ],[ ]

Q: e of 4,7,1

A: Introduction: A sequence is an arrangement of numbers in a specific order. A series, on the other…

Q: Determine the 15th term of the sequence 3,1,-1,-3

A: A sequence is said to be an arithmetic sequence if the difference between successive term is same.…

Q: this sequence 31 27 23 19. Explain how you can get the next three sequences.

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Q: What is the next three numbers in the sequence: 2,5,10,17,26,37,50?  What formula can be used to…

A: Consider the given series, 2,5,10,17,26,37,50 Obtain a pattern in the series as follows.…

Q: Find the next number in the sequence 3, 7, 15, 31, 63

A: We have the given sequence is 3, 7, 15, 31, 63 Observing the given pattern we get…

Q: What should be the next number in this sequence? 1, 4, 27, 256, O A. 3,125 O B. 2,048 O C. 1,024 O…

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Q: What is the next term in the sequence 3, 6, 8, 4, 2, 4, 6, 3, 1_________? A -2 B 0 2 D) 4

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Q: Write the first four elements of the sequence. n+1 3n- -1, 1, 콩, 글 1, 금, 글, 유 5. 2 0, 글, 글, 콩

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Q: The sequence a,= 8, 13, 18, 23, ...is the same as the sequence a = 8, an= a,1+5. A. True B. False

A: The sequence an=8, 13, 18, 23,.......is the same as the sequence a1=8, an=an-1+5

Q: 3. Consider the number sequence 1, 14, 51, 124, 245, 426, ... a. Find the next two terms of the…

A: We try to find out a pattern which the sequence can be found

Q: Study the given sequence: 1, 2, 4, 7, 11, 16, 22, 29, 37, 46, ... what is the 120th term in the…

A: Given sequence is 1, 2, 4, 7, 11, 16, 22,...…

Q: Write the sequence in closed form. Make sure to indicate the domain. 3 %3D aj = 5

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Q: 3. 5, 7, 9, 11, _, 15, 17 4. 30, 26, 22, 18,,

A: note an = a + (n-1)d

Q: What is the sequence of 1,3,7,15,31

A: Given query is to find the sequence.

Q: What is the next three terms of the given sequence 25,12,-1,-14,-27,_,_

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Q: 9. Given the following sequence 1, 2, 3, 5, 8 What is the next number in the sequence? 10. Given the…

A: After observing carefully the given sequences, we obtain some relationship between their terms.

Q: Find the next three terms of the sequence. 2, 5, 10, 17, 26,

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Q: What should be the next number in this sequence? 10, 8, 16, 14, 28, 26, 52, O A. 48 В. 50 OC. 54 O…

A: In the given question, concept of sequence is applied. Sequence A series is created by a sequence,…

Q: n-1 2) а - -3. 6,

A: Given an = -3 . 16n-1

Q: The 200th term of the sequence 2,5,8,11 is

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Q: What is the next number in the sequence? 1, 2, 3, 6, 4, 5, 12, 60, 5, 6, 7, 8 10 120 O 210

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Q: In the sequence 1, 5, -8, -2, -30, -20, and -78. Give the rule pattern or rule formula that can be…

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Q: next number. 96. 6. 0,1,4,9,..

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Q: 3 5 7 12'34'56'78

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Q: identify the next sequence of the given.  1,1,2,3,5,8,13,__

A: Given: 1,1,2,3,5,8,13,__       To determine: next term of the given sequence

Q: Consider a sequence of a numbers. 5, 6, 15, 50, 207,1040, 6275, 43938  What is the pattern and…

A: The objective is to state the pattern and the number that is not a part of the sequence 5, 6, 15,…

Q: What should be the next number in this sequence? 5, 8, 13, 20, 29, O A. 40 В. 38 Ос. 45 O D. 44

A: Given sequence is 5, 8, 13, 20, 29,—. We have to find the next number of the given sequence. Let the…

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.