Write the first five terms of the sequence defined recursively. a1 = 43,    ak + 1 = ak − 8 a1? /a2?/a3?/a4?/a5? a1 = 5,    ak + 1 = 3(ak − 1) a1?/a2?/a3?/a4?/a5?

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

A: a_4= (a_3)^2 -2 This is the fourth partial sum.

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

A:

Q: What is the sum of the 1st 11 terms in an arithmetic sequence whose 1st term is –40 and the 11th…

A: Since you have posted multiple questions and we can answer one question. So, answered first…

Q: ind the sum of the first eight terms of the sequence 1/8,−1/4,1/2, . . ..

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Q: The eight term in a geometric sequence with a second term 3 and fifth term 81/8, multiply with the…

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Q: How many terms of the arithmetic sequence {1,3,5,7,...} will give a sum of 961?

A:

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

A:

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: 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: A sequence can be generated by using an = 3a (n – 1), where a1 = 5 and n is a whole number greater…

A: Given,     an=3an-1,  where  a1=5 and n is whole number greater than 1.

Q: difference table

A:

Q: Which sequence could be described by the recursive definition: tn+1 = -1(tn) + 3 O A. (-9, 6, -3, 0,…

A: Given recursive formula is tn+1=-1tn+3.

Q: Suppose that the sequence {ak}1 is 2, 4, 6, 8, 10, 12, 14, 16, . What is a,?

A: we have the given sequence 2,4,6,8,10,12,14,16,...

Q: lberto is considering taking a job with a company where the sequence {$50,000;$50,700;$51,400;…

A: Given sequence is $50,000;  $50,700;  $51,400;  $52,100;  $52,800.... To find the value in the 6th…

Q: 4. The total amount of water poured to a container is 1350 liters. During the first day the amount…

A:

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: If the 100th term of an arithmetic sequence is 691, and its common difference is 7, then its first…

A: nth term of an arithmetic sequence is given by, an = a1+ (n - 1)d  where a1 is first term and d is…

Q: Suppose that the sequence {ax}1 is 2, 4, 6, 8, 10, 12, 14, 16, ... What is a4?

A: Answer

Q: What are the first 5 terms of the sequence a_ =2n – a 'n - 1, where “, =5,

A:

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

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Q: Which sequence could be described by the first term: Aj = 1 and the recursive (an)² + 1 definition:…

A: Given, an+1=an2+1 a1=1

Q: 3. Find two possible next terms of a sequence 2, 8, 9,17 that is neither geometric nor www…

A: Given the sequence 2,8,9and 17. We need to find the 2 possible next terms of a sequence.

Q: nth term for n = − 5+(n-1)14, where n is a positive integer. What is the value of the tenth term in…

A: we put n=10 in given sequence and find 10th term .see 2nd step.

Q: What are the next three terms of the sequence 256, 64, 16, 4, 1? O 1/4, 1/16,1/64 O -4, -16, -64 O…

A:

Q: Suppose that the sequence {ax} is =0 2, 4, 6, 8, 10, 12, 14, 16, .. What is a1?

A: The given sequence {ak}k=0∞ is -  {ak}k=0∞ = 2,4,6,8,10,12,14,16,18,......... The first tern of the…

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

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Q: Suppose that the sequence {ax}ı is k= 1,3, 5, 7, 9, 11, 13,.. What is a;?

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Q: How many terms are there in an arithmetic sequence with first  term 12, common difference −2, and…

A: Using formula.

Q: (2) Identify the next likely term in the sequence and the type of sequence: 5000, 2000, 800, 320,…

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Q: 4. The 1st term of an arithmetic sequence is -168 and every term after the first is 8 more than term…

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Q: How many terms of the arithmetic sequence 20, 18, 16.... must be added so that the sum will be -100?

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Q: The sum of the first three terms of an arithmetic sequence is 45, and its 5th term is 24. What is…

A: We can find the 8th term of the GP as below

Q: d. If the chosen sequence has a finite number of terms and its sum i are there? e. Express the…

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

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

Q: An arithmetic sequence has first term aj = 1 and fourth term a4 = 16. How many terms of this…

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Q: How many terms must be taken from the sequence (-16, 14, 12, ...) starting from the first term so…

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Q: Find the first 4 terms and the eighth term of the recursively defined sequence. C1 = 3, c2 = - 1,…

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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: A town has a population of 5000 persons, but is expected to grow by 2% every year. What would be…

A: The sequence given in second part of the question doesn't seem to be correct. Repost the question…

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

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Q: A Diginacci sequence is created as follows: The first two terms are any positive whole numbers Each…

A: Given are the instructions to form a Diginacci sequence: The first two terms are any positive whole…

Q: Find the sum of the first 150 terms of the arithimetic sequence 6,9/2,3,........

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Q: Which recursive rule describes the sequence 3, 7, 11, 15, ... ?

A: First we have to find out 1st term and common difference.

Q: a. What would be the population size in 7 years. b. Fund the sum of the first eight terms of the…

A: Given; P0=5000 Rate=2%=0.02 the sum of the first eight terms of the sequence 18,-14,12,.... Formula…

Q: 2. Write a recursive definition for the sequence 14, 10, 6, 2,... Oaj = 14, an = an-1+4 %3D Oa = 2,…

A: To write a recursive defintion for the sequence 14, 10, 6, 2, ...

Q: What are the first five terms in the recursive sequence defined by a1=2 a2=3 an=an-2*an-1

A: Given: a1=2, a2=3, an=an-2·an-1 To find first five terms in the given recursive sequence. Solution:…

Q: How many terms of the arithmetic sequence {1,3,5,7,...) will give a sum of 961? How many terms of…

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

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.