What is the fourth partial sum of the recursive sequence: a, = (an-1) - 2 The fourth partial sum is

Q: find the nth term an of a sequence whose first four terms are given. 1, −8, 27, −64, …

A: Given the first four term of the sequence1,-8,27,-64.

Q: Determine whether sequence having the given nth term is monotonic           an = 3 + (−1)n

A: an = 3 + (−1)n We need to determine whether the sequence having the nth term is monotonic or not.

Q: Write a recursive formula for each sequence. 4, 12, 36, 108, --- 9,4,-1,-6, .. ロロ ロ+■ ローロ ロ-ロ |for n…

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Q: 1) Find the first 8 terms of the recursive sequence. =-3 2,a

A: The given recursive sequence is;  an=an-1 - an-2.

Q: What is the 5th term of the sequence defined by the formula Tn=2n2−5n+1.

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Q: What is the generating function for the sequence {ck},where ck represents the number of ways to make…

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Q: What is a disadvantage of defining a sequence recursively?

A: The Disadvantage of defining a sequence recursively as In general, recursive functions are slower…

Q: Find the first five terms of the recursively defined infinite sequence.

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Q: The nth term of a sequence is given. Calculate the first five partial sums.

A: A partial sum of first n terms can be found by the sum of the previous terms. Put the values of n…

Q: A town has a population of 5000 persons, but is expected to grow by 2% every year.    (i) What…

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

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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 the 30th partial sum of the arithmetic sequence:   78, 76, 74, 72,\70, ....

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Q: Find the nth partial sum of the arithmetic sequence for the given value of n. -6, -1, 4, 9, ..., n =…

A: We will find the 100th term first and will add first 100 term to find nth partial sum for n= 100

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: What does it mean for a sequence to be defined recursively?

A: A recursive sequence fnnadditionally known as a recurrence sequence is a sequence of numbers f(n)…

Q: Determine the nth term of the arithmetic sequence whose nth partial sum is n2 + 2n. [Hint: The nth…

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Q: a1 = 5,    ak + 1 = 4(ak − 3)

A: When a sequence is defined recursively, the previous term is used to calculate the next term. We…

Q: Find the first five terms of the recursively defined infinite sequence.

A: Given,                a1=5,                       ak+1=7-2ak

Q: Find the first five terms of the recursively defined infinite sequence.

A: Given a1=5 ,ak+1=kak To  find the first five terms…

Q: What is meant by the partial sums of a sequence?

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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 the first four terms of the recursive sequence defined below.

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Q: 9. Find the partial sum of arithmetic sequence of 25 terms starting with 5, 10, 15, 20,.........

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Q: write the first five terms of the sequence defined recursively. a, = 15, akti =(-3)aK %3D KtI

A: Given a1=15 and ak+1=-3(ak)So the first 5 terms of the sequence will be a1,a2,a3,a4,a5

Q: Find the first five terms of the recursively defined infinite sequence.

A: Given sequence is: ak+1=ak1k We have, a1=2 We have to find the first five terms in this sequence.

Q: What will be the sum of arithemetic sequence with first term a1=1 and second term a2=24

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Q: Write the first four terms of the sequence whose general term is given. an = 4n + 4

A: Here, for given sequence we have to find first four terms.

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: The middle term of an arithmetic sequence equals 17, the last term = 32, and the fourth term = 11.…

A: Given middle term = 17 Last term = 32 Fourth term = 11 T4 = a+3d = 11 Middle term = T6 = a+5d = 17…

Q: Find the closed form of the generating function for the sequence 2,4, 8, 16, 32, ...

A: Generating Function: Let a0, a1, a2, a3, a4, .....be a sequence of real numbers denoted as an Then a…

Q: What is a sequence?

A: A sequence is a list of things in order.

Q: 5. Find the 6th term of the recursive sequence defined by a₁ = 0, an+1=2a₁ +3.

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Q: how that the sequence (1 – (-1)" +1/n) is divergen

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Q: find the nth term an of a sequence whose first four terms are given.  -1,4,-9,16...................

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Q: Find the first six terms and the sixth partial sum of the sequence whose nth term is an = 6n² – n.…

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Q: Find the first five terms of the recursive sequence defined below.

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Q: Determine the nth term of the arithmetic sequence whose nth partial sum is 2n2

A: Given:Nth partial sum is

Q: Find the 25th partial sum of the arithmetic sequence 75, 70, 65, 60,...,

A: Let's find.

Q: the

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Q: Find the first five terms of the infinite sequence whose nth term is given. an = 3n - 1 %3D

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Q: Find an explicit formula for the sequence 1/2,-1/3,1/4,-1/6....

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Q: Find the first 10 terms of the sequence An 2n + 3. its 9th term is its 10th term is

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Q: Write the first four terms of sequence whose general term is given an = 3n + 2.

A: Given: an=3n+2 To Find: First four term of the sequence whose general term is given.

Q: Find the indicated nth partial sum of the arithmetic sequence. a₁ = 13, 316, n = 120 120 =

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Q: Find the first four terms of a sequence whose nth term is given by n^2 - 1.

A: Topic :- Sequence

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

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Q: Find the indicated nth partial sum of the arithmetic sequence. 6.3, 6.1, 5.9, 5.7,. . .,   n = 13

A: Given arithmetic sequence is  6.3, 6.1, 5.9, 5.7,...... we are given with arithmetic sequence, so…

Q: Find the first six terms and the sixth partial sum of the sequence whose nth term is an = 2n2 - n.

A: Substitute 1 for n in the equation an=2n2-nto determine the first term. a1=2(1)2-1=2-1=1