an+1 Use to show that the sequence given by an (a) (c) Strictly increasing (b) Strictly decreasing (d) +00 3" (n+1)!] n=1 Increasing, but not strictly increasing Decreasing, but not strictly decreasing IS

Q: 4n+1 ii. an = 3"/(1 + 3") n! a. II

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

A: The main object is to write sequence for given nth term.

Q: Use the difference an+1 – an to show that the sequence {n – 9"} is strictly increasing or strictly…

A: here sequence is n-9n so  an+1 = (n+1) - 9n+1          = n+1-9(9n) an = n - 9n so now an+1 - an =…

Q: Which of the following is the explicit expression of a sequence where the first value is 35 and the…

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Q: (1 point) Find a formula for the general term a, of the arithmetic sequence (starting with a1): {4,…

A: a1=4 a2=-2 a3=-8 a4=-11 Note that commond difference d=-6

Q: Consider the following sequence: +0 4" {an} = n=1 An+1 Use the ratio to show that the given sequence…

A: The given sequence is  an=4n3n2n=1+∞

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: write the equation of this geometric sequence and find the value of the 9th term 1/3 , 1 , 3 , 9....…

A: First identify the series than find the nth term .

Q: What are the initial term and a recursive formula for this sequence: 4, 7, 10, 13, ......

A: The given sequence is 4,7,10,13,... the common difference is 7-4=3,10-7=3,... therefore, the common…

Q: 2. For each sequence below, write the generating function as a rational function. (a) a„= 3" +…

A: a. The given sequence is  an=3n+(-1)n2n+1 for n=0,  a0=30+(-1)020+1 =1+21=3 for n=1, a1=31+(-1)121+1…

Q: Write down the sequence whose nth term is (i) 2"/n and (ii) [3+ (-1)"]/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: 3. Determine whether the following sequence is increasing, decreasing or neither. (a) ((-1)"), (b)…

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Q: One of the following sequences is monotone increasing. Select one: a. (e-") O b. 1+n2, C. None of…

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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 an+1 – an to show that the sequence {n – 4"to0 is strictly increasing or strictly…

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Q: general formula for sequence {-1,1/2,-3,1/4,-5,.....}

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Q: Activity 1: What's My nth Term? Directions: Find the nth term of the given arithmetic sequence: 1.…

A: The nth term of an arithmetic sequence having first term a and common difference d is, tn = a+(n-1)d…

Q: Give the first six terms of the following sequences. You can assume that the start with an index of…

A: Increasing sequence : If an is any sequence and an≤an+1 for all n .Then an is called to be…

Q: wn menu to indicate whether the sequence ng or strictly decreasing. one pose one -y increasing y…

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Q: (b) In an arithmetic progression, x + 2x + 3x + ... + 100 x is a positive integer which is a factor…

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Q: Quéstión 6 Which of the following represents the area inside the inner loop of r = 11 – 22 sin(@)? n…

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Q: a =(−1)²¹ (n − 10)₂ - What is the 9th term of the sequence n

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Q: Answer the question right and show your work Then make a similar question for each question and…

A: The sequence is as follows: f(1)=24,f(2)=288,f(3)=3456,f(4)=41472 To find the recursive…

Q: (r1 = 11000 \n = 0.7rn-1 Identify the sequence as geometric or arithmetic. * D Arithmetic O…

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