Select all sequences that will contain infinitely many square numbers. А. а, — п В. а, — 4n + 1 C. aj = 4, An+1 5а, D. a, = 10" + 55

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: 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: Suppose that n > 5 and that the numbers t1, t2, t3, . . . , tn−2, tn−1, tn form an arithmetic…

A: We need to determine the value of n in the given arithmetic sequence.

Q: 1. Arrange the integers 1,2,3, . . . ,17 so that the sum of consecutive numbers is equal to a…

A: To find:  Arrangement of the integers 1,2,3, . . . ,17 so that the sum of consecutive numbers is…

Q: Find the sum of the finite arithmetic sequence. Sum of the first 80 positive odd integers

A: Find the sum of the finite arithmetic sequence. Sum of the first 80 positive odd integers.

Q: The first three terms of a sequence are given. Round to the nearest thousandt. necessary). 7, 10,…

A: Given that series. And this series is in A. P. So use formula of nth term of A. P.   Find its 33rd…

Q: Find the first four terms and the eighth term of the sequence.

A: Consider a sequence an. Then, the terms of the sequence are given by: a1, a2, a3..., an, .... where…

Q: In week 1, 4 persons were infected by a virus, 16 persons in week 2, 36 in week 3, and 64 in week 4.…

A: Given that, In week 1, 4 persons were infected by a virus so consider a1=4 In week 2, 16 persons…

Q: Find the first six terms of the recursive sequence. a1 = -3, an = an-1 + 8 %3D O -3, 5, 13, 21, 29,…

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Q: Find the sum of the first five terms of the sequence with the given general term. an = (-1)"

A: general term  an = (-1)n

Q: Find the first five terms and the 14" term of a sequence with 2n +1 general term a, 2n-1

A: Given,         The first five terms and the 14th term of a sequence with the general          term ,…

Q: Fibonacci sequence

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Q: The first four terms of the sequence defined by An — пар-1 + п*a,-2, do — 3, а1 = 3, a1 = 4 are ao =…

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Q: For the sequence an = 2(an- - 2) and a1 = 3, its first term is its second term is its third term is…

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Q: Give the first three terms of each sequence based on the given a1=4,         r=-2         _____,…

A: To find the first three terms of each sequence

Q: The sum of the first 20 terms of the sequence O.7,0.77, 0.777,.. is

A: We have to find the sum of first 20 terms of the sequence: 0.7, 0.77, 0.777, ..... Assuming the…

Q: The greatest lower bound for the sequence {2, 4, 8, 16, 32, 64, . } is

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Q: If P1 requests an additional instance of each of A and C, that is, P1's request becomes (2, 4, 6),…

A: Given that, P1 and P3 will be starving for resource C and the system will be in a deadlock.…

Q: Calculate the first 5 terms of the sequence an = Factions and as decimals to 3dp. (1+)", expressing…

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Q: 2. Find the closed form for the generation function for the sequences (i) 2, -2, 2, -2, 2, -2, - - -…

A: The closed form for the generation function for a sequence is used to define the general term of a…

Q: b) The sum of the first 15 terms of the sequences 7,-14, 28, –56, 112,..

A: We have to find out sum of 15 terms

Q: Construct a difference table to predict the next term of the sequence.   10, 10, 12, 16, 22, 30,…

A: 10, 10, 12, 16, 22, 30;

Q: Construct a difference table to predict the next term of the sequence. 8, 1, −2, 2, 16, 43, . .

A: The next term of the sequence is obtained below: From the given information, 8, 1, –2, 2, 16, 43 ….…

Q: The sum of the first n terms of a sequence is (17n^2 )– 11n. Determine the 20th term.

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Q: 7. What is the 10th term of the sequence defined by a, = 5p³q² and an = O an-1?

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Q: For the sequence defined by: a1 = 2 2 an +1 - - an Find: a2 = a3 a4 = II

A: A sequence is a function with domain being the set of natural numbers and the range being the set of…

Q: The figure below shows the first three squares in a sequence qo, 41, 42, - - . of squares divided…

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Q: Determine the pattern and find the missing terms in each of the following sequences. 1. 2, 5, 10,…

A: A) 1.   This sequence  has terms  which are incremented by odd numbers starting  from…

Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 9,…

A: Method -1 First term = 9 Second term = 9× 2 = 18 Third term = 18×2 = 36 Similarly, Fourth term = 36…

Q: 2. Find the nth term of the sequences below: a. 3,-5, 7,-9, 11,...

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Q: 10. a, = 6, ant1 an

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Q: ,(n+), Does the sequences eventually increasing or decreasing ? (2n² – 7n) , (n³ – 4n²), (- , (n +…

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Q: find a formula for the nth term of the sequence. 0, 3, 8, 15, 24,....

A: Terms: 0, 3, 8, 15, 24, .... Difference of successive terms: 3 - 0, 8 - 3, 15 - 8, 24 - 15, .....…

Q: The 13th term of a sequence is 8, and the 17th term is 8. What is th

A: Given, the 13th term of a sequence is 8 and 17th term of sequence is 8.

Q: Find the sum of the finite arithmetic sequence. Sum of the first 150 positive odd integers

A: To determine the sum of the first 150 positive odd integers.

Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 204,…

A: Here given sequence is 204, 200, 196, . . ., which is an A.P. as difference between consecutive…

Q: Find the first four terms and the eighth term of the sequence.

A: The given sequence is 2+-0.1n.

Q: Find the first 4 terms and the eighth term of the recursively defined sequence. C1 = 7, c2 = - 2,…

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Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 9,…

A: We have to find the 46th term of given sequence.

Q: A sequence a1, a2, a3,.... satisfies the property that an+1 is the average of the first n terms if…

A: We have to find a2 .

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

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Q: 4. What are the first five terms of the sequence for a1--2 and an-2an-1+5?

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Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 2, 6,…

A: Given sequence,  2,6,18,... Recall:  Geometric sequence, a, ar, ar2,.... Where, a=first term,…

Q: Find the sum of the finite arithmetic sequence. Sum of the first 70 positive odd integers

A: The given question is solved below.

Q: 2. Find the nth term of the sequences below: a. 3, -5, 7, - 9, 11, ...

A: As per our guidelines we are supposed to solve only one question. For the solution of the first…

Q: 5. Construct a difference table to predict the next term of a sequence 1, 7, 17, 31, 49, 71,...

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Q: If 40 participants are randomly selected to 4 groups of 10, does the 40 comes first in the sequence:…

A: Given: If 40 participants are randomly selected to 4 groups of 10, does the 40 comes first in the…

Q: List the first five terms of the sequence: a1 = 2, az = 1, An+1 = An аn-1 %3D -

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Q: a) In the sequence 2+5+8+11+14, . , the sum of first 100 terms is b) In the series…

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