Use the difference anti-an, to show that the given sequence {a} is strictly increasing or strictly decreasing. n +00 11n 10 n=1 an+1 = an = 10 (11n +10)(11n - 1)' 10 ; strictly increasing -: strictly increasing (11n - 10)(11n + 1) 10 (11n10)(11n + 1) 1 (11n10)(11n + 10) 10 (11n + 10)(11n - 1) -; strictly decreasing -; strictly decreasing ; strictly decreasing

Q: 8n2 + 1n + 1 an 7n2 + 9n + 9

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Q: Write down the sequence whose nth term is (i) 2"/n and (ii) [3+ (-1)"]/3".

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Q: 6n2 – 7n An 2n2 + 9

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Q: Which of the following is the generating function for the sequence 5, 5, 5, 5 O A. G(x)=(1-x) 1 O B.…

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Q: 7. Every sequence of real numbers has a decreasing subsequence. nondecreasing subse- quence or a

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Q: 4. Consider the sequence 8 1 {2(k+3 (2(k+3)) k=1 rewrite the sequence from j-5

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Q: O List the first five terms of the sequence 2n +(-3)" }

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Q: f(n)=(n-1/2) (n-1/3) Its n-1 over 2 and n-2 over 3 Write the first six terms of the sequence…

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Q: Which of the following is the generating function for the sequence 5, 5, 5, 5,. ? O A. G(x)=(1-x)-1…

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Q: In step 3, how does (x+1)x! become (x+1)! in the denominator of the summation?

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Q: Use the difference an+1 - an to show that the given sequence {a,} is strictly increasing or strictly…

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Q: Find a5 for the sequence with generating function (2/(1−x)^2)*(x/(1−x−x^2)

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Q: What are the first 5 terms (starting with ao) of the sequence described below? an = 2an-1 - an-2…

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Q: Show that the sequence {1, -1, 1, -1, 1, -1, ..., (-1)n+1, ...} diverges.

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