Express the sequence as a sum of scaled and shifted unit steps. n = 0 n = 1 3 2 x(n) = n = 2 else x(n)=u(n)+u(n-1)-u(n-2)-3u(n-3). O x(n)=u(n)+u(n-1)+u(n-2)-3u(n-3). O x(n)=u(n)-u(n-1)+u(n-2)-3u(n-3). O x(n)=u(n)+u(n-1)+u(n-2)+3u(n-3). O

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

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Q: Find the explicit formula for this polynomial sequence: 3, 24, 79, 180, 339, 568, 879, ..

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Use the summation notation to rewrite the following expression. (1 - 2) - (2 - 2) - (3³ – 2) – (4³ –…

A: E (k3 – 2)(-1)k+1 = (1 x 1 x 1 – 2) – (2x2x2 – 2) + (3x3x3 – 2) – (4x4x4 – 2) + (5x5x5 – 2) So…

Q: Write the sum without sigma notation and evaluate it. 3 E (-1)k (k - 3)2 k=1

A: Given expression is ∑k=13-1kk-32

Q: Construct the 5th term in sequence based on recursive definition. Show how you derive each term…

A: Construct the 5th term in sequence based on recursive definition. Show how you derive each term…

Q: Use the difference an+1 – an to show that the sequence {n – 11"}t n=1 is strictly increasing or…

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Q: Express the sum 3e4 + 3e9 + 3e16 + 4e4 + 4e9 + 4e16 usingdouble-summation notation.

A: Given: 3e4 + 3e9 + 3e16 + 4e4 + 4e9 + 4e16 We can write it as,…

Q: Find the value of x so that 65 - x, 2x - 17, x +1 form an arithmetic sequence. 100 40 O 25 O 33

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Q: N + 1 aN N° + 1 is monotonic. Show that the sequence

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Q: Use iteration to guess an explicit formula for the = 2dr-1 + 3, for each integer k > 2 if d = 2…

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Q: Write an explicit formula for the sequence 19 22 25 16 13, 3' 7' 15' 31 3 n + 10 а. an 2" +1 3 n+ 10…

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

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Q: Indicate the generating function of the sequence defined by ak = = 4ak-1 +5

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Q: Consider the sequence S(-1)"-2n² 4+n³ n=1 (a) Write the 129th term in this sequence. You do not have…

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Q: 17.) compute f-g ( Note: each term in the sec one of the following Should only be 0, 1, 2, 3, 4, 5,…

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Q: Find the limit of the sequence: 4n² + 7n +7 4n² + 4n+ 5 an

A: Given query is to find the limit of the sequence.

Q: 1. (2 – 2k) k=-1

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Q: Write the first five terms of the sequence defined by the explicit formu 2(n-1)! n(n + 5) an

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Q: Find the sum of first 24 terms of the list of numbers whose nth term is a = 3 + 2n

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.