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: For the sequence 1, 4, 7, 10, .. . its nth term is

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

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Q: Construct the explicit formula of the sequence -12, 12, -12, 12, -12,...

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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: a. -10, 30, -90, 270, -810 b. -13, -16, -19, -22, -25 c. -10, -13, -16, -19, -22 d. -10, -7, -4, -1,…

A: To find the first five terms of the given sequence.

Q: Write the first four terms of the sequence whose general term is given an = (-1)n+1/2n +1

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Q: For the sequence an = an-1+ an-2 and a1 = 2, a2 = 3, its first term is 2 its second term is 3 its…

A: Recurrence sequence

Q: first 5 terms of Sequence defined +1=1/50x a = 625 ax + K a

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Q: Which of the following is the value of x to make x + 1, 4x – 7, 2x + 5,… an arithmetic sequence.

A: We will find the value of x for which the given sequence will be  an arithmetic sequence as…

Q: 9 16 2' 3' 25 What is the 30th term of the sequence 4, -- -

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Q: 1,0,

A: Given: The sequence is 0 , 1-e11+ e2 , 1- e21+ e3 , 1- e31+ e4  , 1- e41+ e5 , .  . .

Q: The common difference and the first term of the sequence: -1, 1, 3 ...... are: Select one: -1 and 2…

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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: Write the first three terms of the sequence defined by a₁ = 2, 2a, +3 an +1 = an +2 'n

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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: Which of the following is the explicit formula for the sequence {-2, -6, -18, -54, -162, ...}? a. =…

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