(7) Determine which sequence converges. Justify (2) Σ n4 2n

Q: If all tems except ys of the sequence Y1, Y2» Y3•…· Y9 be given , show that the value of ys is 56…

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Q: Find the first five terms of the sequence and determine if it’s an arithmetic, geometric or neither…

A: Given; c(1) = 3, c(n) = 10 - c(n -1) for n ≥ 2

Q: Determine if the sequence converges or diverges and show how you arrived at the conclusion In n² {a}…

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Q: T26 = – 454 and T43 = – 760 are terms of an Arithmetic Sequence. Determine... 1) ...the first term…

A: T26=-456T43=-760  T26=a+25d         -454=a+25d  T43=a+42d     -760=a+42d solve the above two…

Q: 2. Express the geometric sequence as an explicit formula. Then find the 10th term. Sequence: 9, –3,…

A: The explicit formula for a geometric sequence is of the form  f(n) or an= a1 rn-1 where r is the…

Q: An increasing sequence is convergent. A True B False

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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: 8. Determine whether the sequence a n3n converges or diverges.

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Q: Write out the first four terms of the sequence and determine whether the sequence is converging. 1…

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Q: Find the a0, a1, a2, and lim an for the following sequences: 3 x 10 = 30. an = (7+3n)/(5-2n) an =…

A: We can solve this by using definition of sequences

Q: (a) Show that if n € N, then <+¹¹dx.

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

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

A: We have to write Generating function:

Q: Q4: Find the following sequence: Then Make sketch of -3 x(n) = 3n[u(n+3)-u(n-4)] y(n) = x(2n-3)

A: Given below clear explanation

Q: 9. Find the explicit formula for a sequence satisfying а, %3D10а,, + 25а, _,n22 n-1 а, %3D 3, а,…

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Q: Find m given that 2m + 3, m + 4, and m are consecutive terms of an arithmetic sequence.

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Q: Find the limit of the sequence: 3n? + 9n + 9 An 2n2 + 2n + 1

A: To find:-

Q: Consider the sequence 4.8, 7.68, 12.288,... Note that 4.8; is t(1), not t(0). a) Is this sequence…

A: the sequence given to us is  4.8, 7.68, 12.288, ...

Q: Determine the sequence converges or diverges. n4 an n³-2n i.

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Q: b. Does the sequence an n converge or diverge? Justi

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Q: 2. Examples. Justify your answers briefly. Give an example of a bounded sequence that diverges. (b)…

A: A sequence in set X ⊆R (set of real numbers) is a function from a set of natural numbers to set X.…