Let (an) be the sequence defined by a1 = 5 and an = 2an-1 – 3 when n > 2. What is a4?

Q: 2. Find the first 4 terms and the 40th term of the arithmetic sequence: = 67.3 – 4.7n - a1 = a2 = az…

A: To find the terms of the given arithmetic sequence, substitute n=1,2,3,....  in the given nth term…

Q: Find two different explicit formulas for the sequence {1, -2, 3, -4, -5, ⋅ ⋅ ⋅}.

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Q: Choose the sequence that is written in increasing order. Select one: -3 -18 9 23 -1 8-3 23 2 -3 8 2…

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Q: Use the difference an+1 an to show that the sequence | {n – 7"} is strictly increasing or strictly…

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Q: 1. Which of the following functions can be used to generate the terms in the sequence 3, 5, 7, 9,…

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Q: Let (a,) be the sequence defined by a¡ = 5 and a, = 2a,-1 – 3 when n > 2. What is a4?

A: Here an be the given sequence which is defined by a1=5 and an=2an-1-3 when n≥2 . We have to find a4…

Q: Given the sequence an defined recursively below, find a4. 3 а, %3D —За,-1 — а,-2 — 2 аn-2 — 2

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Q: a = (k + 1)a, +1 and a =-1 [3] Let be a sequence defined recursively as , find a,, "3, and a..

A: I am attaching image so that you understand each and every step.

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: What would be the 31 st term of the sequence x2, x, 1 А. х28 1 В. x26 C. x28 1 D. x33

A: A geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where…

Q: (ii) Verify whether the sequence a, =4" +5 is a solution of the recurrenc %3D relation a…

A: Given that, the sequence is an=4n+5 and the recurrence relation is an=5an-2-4an-2. Obtain an-1.…

Q: 10. If a = 2a., and a, = 3, find a formula for the sequence . (A) 6 (B) 3 x 2 (C) 2 x 3 (D) (3 x 2)"…

A: Givenan=2an-1 and a0=3 We are required to find the value of an

Q: Determine whether the sequence an= 5n+3 Justify your answer. is monotonic. Is it bounded?

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Q: Find the terms of the sequence an (-1)"2 = n2 a1 a2 || a3 || a 20 a 100 ☐

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Q: Write the arithmetic rule of the sequence for the nth term 9, 13, 17, 21,... O 4+ 9(n - 1) An + 6

A: To find the nth term of the sequence: 9,13,17,21.. Solution: We know, the nth term an of an…

Q: Compute the first 6 terms of the sequence {an} where An-1+n a1 = 1 and an for n > 2.

A: The given sequence,a1=1 and an=an-1+n2 for n≥2

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: A sequence has a recursive formulatn = tn-1+nº, tị = 5. Determine t3.

A: The given recursive formula of the sequence is: tn=tn-1+n3...(1) And t1=5

Q: Find the 10th term of the arithmetic sequence in which a1=12 and d = 9.1.

A: It is given that, a1=12d=9.1   It is known that nth term of arithmetic sequence can be found  by…

Q: Write down the first five terms of the following recursively defined sequence. a1 3; an+1 = an +9

A: It is given that a1=3;an+1=an+9.

Q: Q2. Video: (https://www.youtube.com/watch?v=Kxh7yJC9Jr0) Write the first four terms of the sequence…

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Q: Find G(r) for the sequence 0,0,0,2, -6, 18, -54, ...

A: We have to write Generating function:

Q: 3. Find a formula for the sequence given by In+1 = Xn+ 8xn-1 – 12xn-2 n > 2, with ro = -4, 1 = -3…

A: Let 2nd order homogeneous difference equation is given by,…

Q: A sequence {an}-1 satisfies a1 = 1, a2 = 1 and n=1 4 max {am-1, an-2} – min {an-1, an-2} An = for n…

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Q: Find the first file terms of the following sequence bn=(-1) n(4n-4)

A: To determine: first five terms. Given: bn=(-1)n(4n-4)