12. Find the first 5 terms of the sequence: 2n a, =(-1)" n +1 a) b) a, = 4a-5 and aj =1 | n-1

Q: 2. Find the first 4 terms and the 40th term of the arithmetic sequence: = 67.3 – 4.7n - a1 = a2 = az…

A: To find the terms of the given arithmetic sequence, substitute n=1,2,3,....  in the 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: Find the generating function for the sequence 1,−2,4,−8,16,….

A: The general expansion of the binomial (1-x)-1 will be, (1-x)-1=1+x+x2+x3+….

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

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Q: (X) 16 (D) 16 (E) 256 26. The sequence A is defined by A 100 terms in sequence A? A +2 for each…

A: Given, A_1=45 and An=A_(n-1)+2. Using n=2,3,4,.. in this expression we get: A_2=47,A_3=49,A_4=51,...…

Q: 16.Consider the first 3 terms of the sequence a, (where k 2 2). A. Give the first 3 terms of the…

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

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Q: 2 = (- 1)"(3**) 8.

A: First three terms are  -9, 27 , 81

Q: 1. Write down the first five terms of the sequence given by: an = (-1)^n+1 / n 2. Find the common…

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Q: 4. What is the fourth term in the sequence defined as: a1 126 and an 3(an-1) - 5 %3D %3D

A: A sequence is a function which domain being the set of natural numbers and the range being the set…

Q: a = (k + 1)a, +1 and a =-1 [3] Let be a sequence defined recursively as , find a,, "3, and a..

A: I am attaching image so that you understand each and every step.

Q: What is the sum of the sequence E(1+k!) R-0

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Q: 5a. In an arithmetic sequence of numbers a1 = -4 and a6 = 46.  Which of the following is the value…

A: Given problems  5a. In an arithmetic sequence of numbers a1 = -4 and a6 = 46. Which of the following…

Q: 10. If a = 2a., and a, = 3, find a formula for the sequence . (A) 6 (B) 3 x 2 (C) 2 x 3 (D) (3 x 2)"…

A: Givenan=2an-1 and a0=3 We are required to find the value of an

Q: erms a1, a2, 43,., IS deni an = 2", for n 2 1. The sequence B, with terms b1, b2, b3, .., is defined…

A: Given :-  The sequence A , with terms a1 , a2 , a3 , ..... are defined by  an = 2n for n ≥ 1. The…

Q: Find the first 4 terms and the 12th term of the geometric sequence: n а, 3D 1024|

A: We are given the following geometric series.               an=102412n Now,…

Q: Assume "t*1*" represents the first term of a sequence and "t*n*" represents the nth term. What is…

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Q: Write an explicit formula for the sequence: 6 - 1' 7- T 8 9 - x 10 - * 7' 12 + 1' 18 + 12' 24 + ' 30…

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Q: A sequence has a recursive formulatn = tn-1+nº, tị = 5. Determine t3.

A: The given recursive formula of the sequence is: tn=tn-1+n3...(1) And t1=5

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: 1. Write out the next 4 terms of the sequence a = a,' +n-1; a, =1 (this means %3D а, а,, а,, а,).

A: Given a0=1 and an+1=an3+n-1a1 means n=0So, a1=a0+1=13+0-1          =0a2=a1+1=03+1+-1              =0

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: 08. The sequence { GT) }n-1 3n+2 37+1

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Q: 3. Find a formula for the sequence given by In+1 = Xn+ 8xn-1 – 12xn-2 n > 2, with ro = -4, 1 = -3…

A: Let 2nd order homogeneous difference equation is given by,…

Q: 14. Write a recursive formula for the sequence a) 3, -5, -13, -21,... b) 6.-2, 3, .

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Q: 12. Find the first 5 terms of the sequence: 2n a, = (-1)" а) 2 n² +1 b) a, = 4a - 5 n-1 and ª1 =1

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Q: 6. Find the first 4 terms and the 12th term of the geometric sequence: a, =100,000 and r = -0.2 ɑ1 =…

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

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