2. Determine whether the following statements are true or false. If they are true, prove them. If they are false, give a counterexample. a). If a sequence sn satisfies lim sup Sn enough. = 2, then sn> 1.99 for n large

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

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Q: Help please

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Q: v. an = vi. an = (10/11) (9/10)n + (11/12)" 1 tan-¹ n √n n² +3 3n² + 2n + 1 vii. an (-1)";

A: The given nth terms of sequences(v) (vi) (vii)

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Q: (c) an = (-1)". 2n n!

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Q: Create your own sequence explicit formula.

A: Let, a sequence be: 2,4,8,16,32,64,... This sequence can be derived as  21=222=423=824=1625=32 and…

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Q: lim n→∞ - 17n + 11 11"

A: The sequence is given as,

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