(a) Show that if n€ N, then

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Q: 25) Show that the sequence (2/7) n! 10") +∞ n=1 is eventually strictly decreasi

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A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Please solve (a)

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A: The given sequence

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A: Given,  Sequence                     an = n4-(n8-n5)1/2

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A:

Q: Let {n} be a sequence. Let Yn = if {n} is monotonic, 1. Show that n then so is {yn}.

A: What is Monotone Sequence: A sequence can either be constant or monotone. There are two different…

Q: 5. Use polynomial fitting to find a closed formula for the sequence (ªn)n € N₁: 1,3, 11, 31, 69, ...

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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.

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Q: No, because the difference between them is r 4. Given the sequence an (n+1), what is a 100

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Q: (2) Let an be the sequence defined by: a₁ = 1 a2 = 2 an = an-1 + 2an-2 for n ≥ 3.

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Q: For items (14)-(15), find a number that provides a counterexample to show that the given statement…

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Q: List the first four terms of each sequence. An = 2n + 6: 8 10 12 14 ,.... bn = (4)" : 4 16 64 256…

A: We can find first four term of the given sequences . Put n=1,2 ,3 ,4 and find four terms of the…