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: Please solve (a)

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

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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: Let an denote the nth term of a geometric sequence. Let ao= 128 and an+1= 2an. What is the explicit…

A: The formula of common ratio is given below: where, an+1 is the (n+1)th term, an is the nth term, r…

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: Instruction: Type your answer in the box provided. 2 Find the harmonic mean of the first two terms…

A: Given the sequence is 12,6,4,3,125,2....

Q: 8. The n th term of an arithmetic sequence is given by: an = a₁ + (n − 1)d. Where d is the common…

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Q: 16 Indicate the general rule for the arithmetic sequence with a3 = 8 and a8 = 33. a n = 2 + (n -…

A: The nth term of an arithmetic sequence is an = a + (n - 1)d  a is the first term. d is 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: What do you call a sequence where every term after the first term can be obtained by adding a…

A: An arithmetic progression (AP) is a sequence of numbers in which each new term is obtained by adding…

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: There exists a sequence whose range (the set of values of its terms) is open.

A: True

Q: 1. For each of the following sequences, write down the first 4 terms of the sequence (an). (a) (급),…

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Q: 12. The sequence des First five terms of the sequence: Domain: Range: Maximum: Minimum: -10 -10 Y -5…

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

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

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

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Q: Which exponential function is equivalent to the geometric sequence a, 7.5 (3)(n-1), А f (п) — (0.75)…

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