2. Find a formula for the general term an of the given sequence: (-3,2,---} 16 b) {1,0, 1, 0, 1, 0,-1,0,...}

Q: What are the next two numbers of this sequence 9, 16, 23, ___, ____ and what is an expression for…

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Q: Find the number of terms in each sequence: Formula: a, = a1 (r-1) 2. (11, -22, 44, . , 704} 1. (4,…

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Q: Find the generating function for the sequence 1,−2,4,−8,16,….

A: The general expansion of the binomial (1-x)-1 will be, (1-x)-1=1+x+x2+x3+….

Q: Give the common ratio of the * sequence 10, 2, 2/5 , .... O 1/ 5 O 5 O -5 O - 1/ 5

A: common ratio is the ratio of particular term to previous term.

Q: Suppose a, is the sequence such that a, = -3 - (-1)". Find 25 Li-5 đị. O a. 325 - 35 O b. -3 Ос. 3 O…

A: Given sequence is an=−3⋅−1n. We have to find the ∑i=525ai.…

Q: Find an explicit formula for a sequence of the form a, a, a, 4, 8, 16, 32, 64, 128, 256 I an = with…

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Q: 1) Find a formula for the sequences: 37 a. {-4,,,,,...} (hint: some terms might be reduced more than…

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Q: 1. Write down the first five terms of the sequence given by: an = (-1)^n+1 / n 2. Find the common…

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Q: Find the sum of the first 21 terms of the arithmetic sequence given by the formula a₁ = n + 5 O 273…

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Q: 4. What is the fourth term in the sequence defined as: a1 126 and an 3(an-1) - 5 %3D %3D

A: A sequence is a function which domain being the set of natural numbers and the range being the set…

Q: What are the initial term and a recursive formula for this sequence: 4, 7, 10, 13, ......

A: The given sequence is 4,7,10,13,... the common difference is 7-4=3,10-7=3,... therefore, the common…

Q: Find the recursive formula for the following sequence: -2, -4, -9, -23, -64,

A: -2,-4,-9,-23,-64,.....

Q: 1. Find these terms of the sequence (a), where a = 2-(-3)" +5". a) do d) as b) a₁ c) a₂

A: Given that the sequence an is such that an=2.-3n+5n

Q: Write an explicit formula for the sequence: 6 - 1' 7- T 8 9 - x 10 - * 7' 12 + 1' 18 + 12' 24 + ' 30…

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Q: 12. Find the first 5 terms of the sequence: 2n a, =(-1)" n +1 a) b) a, = 4a-5 and aj =1 | n-1

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Q: Find the missing values of the arithmetic sequence A) s-r , 2r+2s , 5r+3s ,6 , ….. B) 6, a-b , 2a+b…

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Q: 7.. Given the values of a and d, write the first three terms of the arithmetic sequence. Then, write…

A: We want to find general term.

Q: In your own language, describe the pattern of the following sequences (The sequences are given as a…

A: We draw required connection between the pattern and formulas as below.

Q: How many terms are there in the sequence 1, 1/2, 1/4, 1/8, ..., 1/16,384? (Answer should be an…

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Q: Find the 16th term of each sequence below: {0, 1, 1, 2,...} 4 8 16 32 5 15' 45' 135' 1/5,...}

A: To find the 16th term of given sequence. We will use A.P and G.P sequence nth term for finding 16th…

Q: Suppose the sequence goes; 4, 8/3, 16/9, 32/27,... please find the sum of the first 25 even terms

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Q: 2) A sequence is defined using a recursive definition as: a = 5, a, = 11, and a, = a,-1+ 2a,,-2…

A: given: A sequence is defined using a recursive definition as : we have to determine the value of .

Q: i) Find the general form of the sequence (10,50, 250, 1250, ...).

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Q: 2. How many terms are there in the sequence -1, -5/6, -2/3, A. 25 10/3? B 26

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Q: How many terms must be taken from the sequence (-16, 14, 12, ...) starting from the first term so…

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Q: Given the sequence 1,2,3,4,5,... and the sequence 3,4,5,6,7,... whats the product of the two linear…

A: It is given that, the  sequence 1,2,3,4,5,...and the sequence 3,4,5,6,7,...    We have to find the…