What is the formula for the nth term tn of the sequence: t2 = 3, tn = (-3/2)tn-1 , n is greater than or equal to 3   NOTE: the sequence is tn-1, not the value of tn, then minus 1

Q: The first five terms of the sequence  are: 5,

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Q: Find the sequence of the numbers defined by when n is odd an 11 n - 2 1 n 2 when n is even

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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: 1 4. (2n)" 5. 3"-1 n(n+1)(n+2) 6.

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Q: I need to find the sequence {1/2, -1/3, 1/8, -1/30,...}

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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: Which of the following equations describes the nth term for the sequence O (3) -1(9)*** 4 1 1 1…

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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: Write the first four terms of the of the sequence tn 2tn-1 + 4 where t₁ = 5 P

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Q: Find the first three terms of the sequence whose nth term is as follows:

A: A sequence is a set of numbers that has a particular order or obeys a general form. The nth term of…

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: ? For the sequence 2, 8, 32, ...; Write the formula for the general term and use it to find ts

A: To find the general term and 8th term  of the given sequence :-

Q: The strain of bacteria will double in size and then divide every 20 min. Let a, be the initial…

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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: What is the explicit formula for the sequence if at 8 am a hospital patient has 100 mg of a…

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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: Write the first 5 terms of each sequence a(1)=7,a(n)=a(n-1)-3 for n>2. 2. B(1)=2,b(n)=2•b(n-1)-1…

A: we have given relation in sequence.  We have to find the first 5 terms of the sequence

Q: For the sequence defined by: a1 = 3 an+1 Find: a2 = a3 = a4= 5 an +3

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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: Supposed vn =17-n2  is the explicit specification for a sequence. How many values of n (positive)…

A: Given: Vn=17-n2

Q: Find the first file terms of the following sequence bn=(-1) n(4n-4)

A: To determine: first five terms. Given: bn=(-1)n(4n-4)

Q: Find the formula for the nth term in the sequence: −3/2 , −1/6, 1/12, 3/20, 5/30, . . . Integers…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.