Q #3 3m +9 8m +9 Evaluate the ratio " a n+1 / an and then Determine if each of the following sequences is increasing/decreasing or none and/or GEOMETRIC. 8 Σ (3n+5)/(8n +1) 1 Bm th) &m+1) -3m+g, 8mtl 7 8m19 3m+5 (ii) civiling 100(2/3)5-2n

Q: 5 5 5 The nth term of the sequence is 2'5'8 11

A: Harmonic Progression: A Harmonic Progression (HP) is defined as a sequence of real numbers which is…

Q: Identify the closed form for the sequence: 1,0, 3, 2, 5, 4, 7, 6, .... (Note: The answer should not…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: Which sequence could be described by the recursive definition: tn+1 = -1(tn) + 3 O A. (-9, 6, -3, 0,…

A: Given recursive formula is tn+1=-1tn+3.

Q: For the sequence -27, – 12, 3, 18, ..., the expression that defines the nth term where a, = -27 is…

A: A sequence is a function from natural number to real numbers. It is denoted by {an} where…

Q: Consider the sequence 2, 7, 12, 17, 22, 27, ..., 5n - 3. How many terms are there in the sequence?

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

Q: determine the closed formula that generates the sequence 1,2,4,8,16,32

A: The given sequence in the question is:

Q: Consider the sequence where a1 = 2 and a2 = 8, a2n+1= ½(a2n+ a2n-1) and a2n+2 =(a2n * a2n-1) / a2n+1…

A: Let firstly calculate few value of teh sequence a1=2a2=8 Put n=1,2,3,4,5 ........ in…

Q: Use polynomial fitting to find the formula for the nth term of the sequence (an),20 which starts, 1,…

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Q: Find the a0, a1, a2, and lim an for the following sequences: 3 x 10 = 30. an = (7+3n)/(5-2n) an =…

A: We can solve this by using definition of sequences

Q: A formula for the sequence 0, 3, 8, 15, 24, is Select one: О a.(п - 1) (2n -1) O b.n(2n + 1) О с (п…

A: Given sequence is 0,3,8,15,24..... Now we can write, 0=1-13=4-18=9-115=16-124=25-1

Q: Vn2 + 1 Let (bn)neN be the sequence defined by b, 2n Let e > 0. Derive a value of N (in terms of e)…

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Q: Which of the following would be divisible by 7? (A) x+ 7 (B) 7x + 1 (C) 14x + 21 (D) 77x +11 O A О в…

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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: h (1) = 1, h (n) = 2 xh (n-1) + 1 for n ≥ 2 p (1) = 1, p (n) = 2 xp (n-1) for n ≥ 2 a (1) = 80, a…

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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: What is the k+ 1st term of the following summation? k+1 i! (i+2) 21 k!(k+2) 2-1 (k+1)!(k+3) 2 (k+1)!…

A: Option 2 is the correct option

Q: What is DE? Enter your answer as a decimal in the box. units 12.6 + A E D B

A: The given triangle is: AD=DBCE=BE

Q: Use the summation notation to rewrite the following expression. 7 (7 − 1³) − (7 − 2³) + (7 − 3³) −…

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Q: Use polynomial fitting to find the formula for the nth term of the sequence (an)n>1 which starts, 5,…

A: Given that, the sequence is 5,28,81,188,365,⋯. Find the difference of the sequence as follows, an…

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

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Q: Can you use polynomial fitting to find the formula for the nth term of the sequence 4, 7, 11, 18,…

A: No. The sequence of differences is the same as the original sequence so no differences will be…

Q: vīz, vi2+ V12 , V12+ V12+ V12 ,. .... Consider this sequence: i.e., a, = V12, a,1 = V12+a, ,n>1 Use…

A: Given a1=12 and an+1=12+an, n>1 First of all, we will write the first 10 terms in the given…