Use the difference an+1 – An to show that the given sequence {a, } is strictly increasing or strictly decreasing. n to . 5n – 4 J n=1 An+1 – an = 4 strictly increasing (5n – 4)(5n + 1)' 4 strictly increasing (5n + 4)(5n – 1)' 4 : strictly decreasing (5n + 4)(5n – 1)' 4 strictly decreasing (5n – 4)(5n + 1)' 1 strictly decreasing (5n – 4)(5n + 4)'

Q: Express the sequence as a sum of scaled and shifted unit steps. n = 0 n = 1 3 2 x(n) = n = 2 else…

A: We have to solve given problem:

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: Q5 (a) Find the area of the region enclosed by the lines and curves, y=x' -2,and y =2

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

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: Which one of the sequences below is divergent? 2n? 3n + 17 2n 3n + 5J 2n n +n +1 D {2-} D

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Q: 3 Find (- 3)'-1 i=1

A: Given : ∑i=13-3i-1

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

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

A: The given sequence,      n7n-6n=1+∞

Q: 6. Find the tenth term of the sequence a, = (-1)" =(-1)"| 2n-1 2n+7

A: Using given formula of nth term to find 10th term

Q: The two convergent subsequences of the sequence (-1)™+2 is a) x, = (-1)" +2 and x, = +2 %3D 2n+1 6n…

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Q: Let n E N* and a, BE R. 1 a. The sequence B (T-4)"-a is neither increasing nor decreasing b. The…

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Q: Solve the recurrence defined by a for n ≥ 1. an 3(6^n)-2 3 and : 6an-1 + 5 an =

A: As per the guidelines I am answering only one question at a time. an=6an-1+5, a0=3

Q: The first four terms of the sequence (Xn) are given by X1= 1, X2 = 5, X3 = 21, X4= 85. Therefore,…

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Q: Let n E N* and a, ß E R. The sequence a + is increasing a. еxp (п) В O b. The sequence n2 ( 1)" is…

A: A sequence an is said to be increasing if an≤an+1   for all n∈ℕ. A sequence an is said to be…

Q: n=D10 1 Generate 11 polynomials (for n=0, n=1,..., n=10) from the sequence P,(x) = d" -(x² –1)" %3D…

A: Given: Pn(x) = 12nn!dndxn(x2-1)n