1 4 Find the explicit formula for sequences of the form a1, a2, a3.. with the initial terms =,- 9 16 , ...? 3'9'27'81

Q: Write an explicit formula for an, the nth term of the sequence 8, –4, 2, ....

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Q: Which of the following equations describes the nth term for the sequence O (3) -1(9)*** 4 1 1 1…

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Q: 3. Find the formula for the following sequences i. An explicit formula for 2, 6, 18, 54, 162,....…

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Q: 2. Given the following sequence: 4, 10, 22, 46, .... Write a recursive formula for the sequence.

A: Given some set of sequence i.e, 4,10,22,46 Lets find the recursive formula for this sequence

Q: 16.Consider the first 3 terms of the sequence a, (where k 2 2). A. Give the first 3 terms of the…

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Q: quired next three terms are 4. 3, 4, 7, 8, 11, ... 5. 1,8, 27, 64, 125, 216, 343, 512, 729.....

A: In these question, we can find the sequence pattern and find next three terms of the sequence.

Q: Consider the sequence: 6, 2, Vhat is the equation for the general term of this

A: In this question we will use basic of algebra i.e concept of geometric progression. First we will…

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

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Q: 13 57 6'10'14 18" 2n-1 1) The arithmetice sequence ,then a, 2(2n+1) true false

A: We have given the arithmetic sequence.  We have to find the nth term of the arithmetic sequence

Q: Determine the explicit formula for the following sequences. 4. Sequence: }, ,7, 3, 4, ... a, = } and…

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Q: i) Find the general term (an) of the sequence 24 6 16 50 12 ' 3'3 7'21 69 17

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Q: E.X; Let T = {E₁ = (-∞,a): a = R}U{R,Ø} be a topology on R and let A = [2,3), B=(3,4), C = (1,5], D…

A: It is given that,  T = Ea=-∞, a : a∈ℝ∪ℝ, ∅ is a topology on ℝ. We have to find the closure of the…

Q: Write down the first five terms of the sequence an a₁ = 92 = a3 = 04 = a5 = (n+2)! 2n

A: The given sequence is; an=(n+2)!/2nFind next five terms.

Q: Example 1.7.30. Find the erplicit formula for the sequence 2, 5, 8.11,..

A: To find the explicit formula for the sequence 2,5,8,11,...

Q: a) Find the formula for the arithmetic sequence with n > 1. - 15, – 10, – 5, 0, 5, .. an b) Find the…

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Q: 2. Consider the following sequence of equations involving Fibonacci numbers: 1+2=3 1+2+5=8 1+2+5+ 13…

A: Solution:

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: Assume "t*1*" represents the first term of a sequence and "t*n*" represents the nth term. What is…

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Q: Find the first five terms and the Sn of each of the defined sequence. 1. 3n+1 3. n2 +5n +6 mot 3-2n…

A: Since you only ask questions 2,3&4 so not answer question 1 Given Sn of the each the defined…

Q: niki has a sequence of numbers given by the formula t (n) = 4(5)". a. What are the first three terms…

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Q: 1. For each of the following sequences, write down the first 4 terms of the sequence (an). (a) (급),…

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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: Find an expression for the general term of the sequence: 4 7 10 13 - 3 9' 27' 81 3n + 1 O a,=(-1)"-…

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Q: 5. Write an explicit formula for the sequence 2, 3, 6, 11, 18,... O an = n² + n O an an = n² + 3 O…

A: Given problem Given that   5) Write an explicit formula for the sequence 2, 3, 6, 11, 18, ... Ans)…

Q: Give an explicit formula for an, the apparent   nth term in the sequence 7, 17, 7, 17, 7, 17...

A: .

Q: For matrix A = (4 6 3 5 ). If f(x) = x2 - 5, calculate f(A)?

A: The given matrix is, A=4635. The function is f(x)=x2-5. For matrix multiplication: The number of…

Q: Write the first five terms of the sequence. (Assume that n beg a1 a₂ a 3 34 = 11 = a n a 25 = 5 0.86…

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

A: To determine: (a.) Sequence with 3,3,3,3,... as its second differences. (b.) Sequence with…

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.