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

Q: Find the number of terms in each sequence: Formula: a, = a1 (r-1) 2. (11, -22, 44, . , 704} 1. (4,…

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Q: Write the first four terms of the sequence whose general term is given below. (- 1)" an = 4n + 1 a,…

A: Given data:

Q: 9) For the sequence 0,2,4,6,00., So. Calculate

A: Given, Sequence :  0, 2, 4, 6, . . .

Q: Find the infinite sum of the geometric sequence with a = 6, r 2 if it exists.

A: Here,  a=6, r=2/6

Q: Find a formula for the nth term of each sequence.2/6, 3/7, 4/8, ...

A: If you see the first term of the sequence the numerator is 2 and in further terms, it is increasing…

Q: Find the infinite sum of the geometric sequence with a = 2, r = 3 if it exists. -

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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: a,=(- 1)" is a divergent sequence

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

A: Given: Sequence: {-1, 1, -1, 1, -1……. } 1) It is an infinite geometric progression in which:…

Q: find a formula for the nth term of the sequence. -1, 1, -1, 1, -1,c

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Q: Write a rule for the n th term of the sequence for which a =3 andr Identify the first six terms of…

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Q: What is the 8th term of the sequence whose ?th term is defined as ?? = (−1)^n(3n-2)

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Q: find a formula for the nth term of the sequence. -3, -2, -1, 0, 1,...

A: Arithmetic progression: If in a sequence, the difference of any two successive terms is a constant…

Q: What is the 7th term of the geometric sequence defined by the rulean = -3(2)^n-1 ?

A: What is the 7th term of the geometric sequence

Q: Find an explicit formula for the general term an of the sequence. (1,-1/3,1/5,-1/7,...)

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Q: The sequence {}, is decreasing. Select one: O True O False

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Q: Use iteration to guess an explicit formula for the sequence defined by an = an-1 + n for all…

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Q: Find the third ,fourth and fifthterms of the sequence defined by a1=2,a2=3 and an=(-1)nan-1+an-2

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Q: Find an explicit formula an for the nth term of the geometric sequence whose first term is a, = 4…

A: Use general formula of geometric series

Q: Find the infinite sum of the geometric sequence with a=4,r=28a=4,r=28 if it exists. S∞=

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Q: Find ag from a geometric sequence where the first term is 63 and r is 0.4. Round to 4 decimal…

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Q: How do I do that?

A: Given that an denotes the nth term of the sequence {10, –2, 10, –2, 10, –2, ….}.Note that the above…

Q: Write the first four terms of the sequence whose nth term, or general term, is given: an = (-1)n/3n…

A: The general term given is an=-1n3n-1.

Q: Let {a,} be an infinite sequence with the property that 0 < a, < for all n 2 1. Calculate lim,-00…

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Q: Find the first four terms of the sequence defined by а, — 3 %3D а, 3 За, —1 + 2, for all n > 1

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Q: Find the infinite sum of the geometric sequence with a = = 6, r = if it exists. %3D 2 00

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Q: Find the infinite sum of the geometric sequence with a = 5, r = 4 if it exists. %3D 8

A: Given, a=5 r=4/7 S∞=?

Q: Write out the first four terms of the sequence given the following recursive definition: tne1 =…

A: # the given initial value is a1=8 . considering it as t1=8 given the relation tn+1=-2tn+6 substitute…

Q: Indicate a general rule for the nth term of the sequence when a, = 2 and r =. 3. a, = (2)(J)*| n+1…

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Q: a [미] = (1)”u [미?

A: We should find the autocorrelation of the sequence.

Q: Find the first 5 terms of the sequence defined byan = (-1) n (2n).

A: The given sequence is an = (-1)n (2n)

Q: Indicate a general rule for the nth term of the sequence when a, = 2 and r = a, = (/2)(5y* a, =…

A: Given query is to find the nth term of the sequence.

Q: Зп —1 a, = п+2

A: The given sequence is an =3n-1n+2 We have to show that the sequence is eventually increasing or…

Q: Find the formula of the general term an of the sequence:

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Q: 1 7. /2n 8. n-2" n+3 9. n(n+1)(n+2) 10. V3n-1

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Q: Write the first five terms of the sequence with the given nth term. a, = (- a as I||||| 2.

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Q: List the first 5 terms of the sequence below. 2 3n a, = (-1)" - for n > 0 for n 20

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Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few…

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Q: Write the first four terms of the sequence, where n = 1,2,3, 4, . .. n3 an = 1+n² (A) 글, 음, 음, 몸 (B)…

A: Given  an = n31+n2 We have to find first four terms of the sequence.

Q: Write the first five terms of the sequence defined by the explicit formu 2(n-1)! n(n + 5) an

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Q: Compute the first 3 terms of the sequence, use the nth term an= n2 - 3n

A: an=n2-3n To find the first term, put n=1 in an=n2-3n, we get a1=12-31=1-3=-2 To find the second…

Q: Select a formula for the general term ³ of the sequence, assuming that the patt of the first few…

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Q: Write the first four terms of the sequence whose nth term, or general term, is given: an = 2n + 5

A: Write the first four terms of the sequence whose nth term, or general term, is given: an = 2n + 5

Q: Find the fifth term in the sequence that is defined as follows: an = 4 + (-1)" Enter

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Q: Find a formula an for the nth term of the arithmetic sequence whose first term is a1 = −3 such that…

A: Our Aim is to find a formula an for the nth term of the arithmetic sequencewhose first term is a1=-3…

Q: i i=0

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Q: =(-1) 你十2

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Q: For Exercise, write the first five terms of the sequence defined recursively. di = 30; d, = d,- - 1

A: We plug n=2 in the given formula and d1=30