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: _26. What is the 7th term of the geometric sequence whose 1st term is 4 and r = - 3? [A] 32/729 [B]…

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Q: 1. Write out the following sequences: (a) an = 4n+1 (b) an = (-1)" (n³), n ≥ 0 (c) an = Q₁ = 4(1)+1…

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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: 1 6 + 7n Your answer is (input yes or no) if your answer is yes, its first term is its common…

A: We have to check whether the sequence  is arithmetic."A sequence is said to be arithmetic, the…

Q: rm an A. P. of common difference 2 and the last (2n + 1) terms are in common ratio 1/2. If the…

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Q: Let ("), n-3n+36 and (") be the first three terms of arithmetic sequence. Find the sum or first 25…

A: nC2, (n²-3n+36)/2 and (n+1)C2 be the first three terms of AP   we know that    definition of nCr =…

Q: If all tems except ys of the sequence Y1, Y2» Y3»….. Y9 be given , show that the value of y5 is 56…

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Q: Find the sequence of the numbers defined by when n is odd an = n 1 when n is even en

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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: Classworc B Auguer Alge baic Exicesions 6. ALGEBRAIC EXPRESSIONS Name: Date: 7 1. Simplify 2x – 9y…

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Q: Find the sum or difference. x+2 - 2x+ 8 2x + 10 x+x- 20 O x-2 2(x+ 5) X* 4 O x+ 6 2(x+ 5)X* 4 O x+ 2…

A: The given expression is: x+22x+10--2x+8x2+x-20=x+22(x+5)--2x+8(x+5)(x-4)

Q: 3. Recursive sequence Give a recursive definition of the sequences below. (a) {an}=1 where an =…

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Q: 4. Let n >1 be an integer. Consider the following expression 3 (3* – 212 + 2) – 2 (3* – 3k2 + 2) k=1…

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Q: Limsup of the sequence is √√√n(√√n + 4. 1+ An = n Enter your answer here /n) n is a prime number n…

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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: (3) Consider the sequence x + 3, x + 7,4x - 2,.. . (a) If the sequence is arithmetic, find x and…

A: We use the definition of Arithmetic sequence and Geometric sequence to find the answer of the given…

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: 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: Recursive sequence Give a recursive definition of the sequences below. (a) {an}-1 where an = n(n +…

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Q: If all tems except ys of the sequence Y1, Y2» Y3•…» Y9 be given , show that the value of ys is 56…

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Q: 4 5 The nth term of the sequence 2, is .. 4 ' 9 16 Select one: a. n2+1 n2 b. n2 n+1 C. n+1 n2

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Q: Limsup of the sequence is an = -1 – 3+ n 1 n is a prime number n is not a prime number

A: For an = -1-1n2n is a prime number3+1nn is not a prime number limsupn→∞ an = limsupn→∞ 3+1n = 3…