Q4: Find the following sequence: Then Make sketch of -3 x(n) = 3n[u(n+3)-u(n-4)] y(n) = x(2n-3)

Q: ind b3 for the sequence generated by the sequence br+1 = 3b,, bo = 2. A) 27 В) 54 C) 6 D) 162 For…

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Q: Write the first five terms of each sequence, start at f(1), given f (2) = -14, f (n) = 4f (n – 1) +…

A: To write the first five terms of each sequence starts at f(1).

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: If all tems except ys of the sequence Y1» Y2» Y3. Y9 be given , show that the value of ys is 56 (y4…

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Q: What is the 9th term of the sequence ªn =(−1)²”(n − 10), a

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Q: E. In a sequence: a = 3, az = 7, and a, 2a,-1 + a,-2 for n2 3. %3D (12) Find az. (13) Find a4.

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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: For the sequence an

A: Given, the sequence      an=2(an-1-2), and a1=1

Q: (d) p+3 E (3k2 – 2k + 1). k=-2 (e) р-1 E (3k? – 2k + 1). k=-2

A: Solution:

Q: Find a formula for the sequence

A: In this question, we have to solve the third-order difference equation in general form and then…

Q: S= (7. -1, -9, -17, - 25, .

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Q: Show all necessary work: 2n (#1) Let an represent a sequence. List the first 5 terms: In²-1

A:

Q: What would be the 31 st term of the sequence x2, x, 1 А. х28 1 В. x26 C. x28 1 D. x33

A: A geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where…

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: '> > |ux| 'N ZuA 'N (b) 3N E N, Vn > N, Ve > 0, n| < e.

A: True or false statement

Q: If the sum 5+ 5(3)+5(3)² +...+5(9)* =5465 then the value of k is (a) 5 (b) 6 (c) 3 (d) 4

A: We know that 1+a+a2+a3+…+an-1=an-1a-1, if a≠1

Q: Find first 5 terms of the following sequence: {an} given by a, = (-1)" („ 3n-2 n2-2n+3 99 Evaluate:…

A: First five terms of the sequence an=(-1)n(3n-2n2-2n+3) at n =1  a1=-3-21-2+3=-12 at n =2…

Q: sequences, in the form t(n) = a(b)" b) 3, -18, 108, –648, .. equation

A: We will look each term closely to find the explicit equation for the sequence.

Q: Find the 8th term of the sequence 00 8 + n n=1

A: SOLUTION-

Q: Evaluate the SUM A5/4(1-(1/5)^26) = B 4/5(1+11/5)^2) 125 25/4(1-5^25) R=-25 5k

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Q: Write using summation notation:(>) 6 4 5 + + 3! 4! 5! 13 -+.. (12)! 3.

A: Given that, The series in term of summation notation is denoted by, Where an is the nth terms of…

Q: In an arithmetic sequence, u1 = 2 and u3 = 8. (a) Find d. (2) (b) Find u20. (2) (c) Find S20.

A: Let supposer first term is denoted by a Common difference is denoted by d nth term is given as…

Q: n) Find the 4th term of the sequence {(1+;)" 8. + – n n=1 8

A: To find- 4th term of the sequence.

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

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Q: Find the limit of the sequence: 3n? + 9n + 9 An 2n2 + 2n + 1

A: To find:-