Find an explicit formula for the sequence of the form a1, a2, a3, . . . with the initial terms given: 1-1/2,1/2-1/3,1/3-1/4,1/4-1/5,1/5-1/6,1/6-1/7

Q: Find two different explicit formulas for the sequence {1, -2, 3, -4, -5, ⋅ ⋅ ⋅}.

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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: Choose the sequence that is written in increasing order. Select one: -3 -18 9 23 -1 8-3 23 2 -3 8 2…

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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 an explicit formula for a sequence of the form a, a, a, 4, 8, 16, 32, 64, 128, 256 I an = with…

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Q: Find an  for the sequence 1/1 -22/2x1 +33/3x2x1 - 44/4x3x2x1, +...

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Q: Let (a,) be the sequence defined by a¡ = 5 and a, = 2a,-1 – 3 when n > 2. What is a4?

A: Here an be the given sequence which is defined by a1=5 and an=2an-1-3 when n≥2 . We have to find a4…

Q: Find a FORMULA for the general term an of the sequence {2, 20, 2, 20, 2, · · · } Assuming that the…

A: Given sequence is {2, 20, 2, 20, 2, · · · } The objective is to find the formula for the general…

Q: What are the initial term and a recursive formula for this sequence: 4, 7, 10, 13, ......

A: The given sequence is 4,7,10,13,... the common difference is 7-4=3,10-7=3,... therefore, the common…

Q: Find the recursive formula for the following sequence: -2, -4, -9, -23, -64,

A: -2,-4,-9,-23,-64,.....

Q: Consider the sequence x + 3,x + 7,4x − 2,............. If the sequence is geometric, find x and…

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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: 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: 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: 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 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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Q: Write a recursive formula for the following explicit formula, and find the first term of the…

A: As it is given that

Q: Suppose the sequence goes; 4, 8/3, 16/9, 32/27,... please find the sum of the first 25 even terms

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