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: 8n2 + 1n + 1 an 7n2 + 9n + 9

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Q: I need help ()))((((

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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: 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: Use an=a1+(n-1)d and gn=g1re-1 to find: the 19th term of the geometric sequence -2, -6, -18, -54 .…

A: Here the given series is a geometric progression. So to find any term in the series we use formula…

Q: Find lim,00 sup(sn) and lim,→0 inf(sn) for the sequence: 82n = (-1)"(n); s2n-1= e7 = et

A: The sequence is S2n=-1nn. Find limn→∞sups2n and limn→∞infs2n: Consider and obtain the limits:…

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

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

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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: N + 1 aN N° + 1 is monotonic. Show that the sequence

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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: 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: 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: 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: In step 3, how does (x+1)x! become (x+1)! in the denominator of the summation?

A: x!=x(x−1)(x−2)..........(2)(1)..................formula…

Q: Find a5 for the sequence with generating function (2/(1−x)^2)*(x/(1−x−x^2)

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

A: To find:-

Q: Find the limit of the sequence: 4n² + 7n +7 4n² + 4n+ 5 an

A: Given query is to find the limit of the sequence.

Q: 6. Find the tenth term of the sequence a, = (-1)" =(-1)"| 2n-1 2n+7

A: Using given formula of nth term to find 10th term

Q: a. Find bz for the sequence generated by the sequence b+1 = 36,, bo = 2. %3D %3D (A) 27 (B) 54 (C) 6…

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Q: Use polynomial fitting to find the formula for the nth term of the sequence (an)n>0 which starts, un…

A: First check successive difference: where two successive difference is constant that is the degree of…