Write the recursive formula for each sequence. 8) 1, 6, 36, 216, 1296, .. 9) 22, 52, 82, 112, 142, ...

Q: Determine the first 3 terms of the given sequence. = An-1 · 3; Ao = 4 An %3D

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Q: 3, 12, 21, 30,...

A: A geometric sequence, is a sequence of numbers where each term after the first is found by…

Q: What is the next term of the given sequence: 1, -4, 9, -16, 25, -45 -19 O -36 O -25

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Q: What is the 1Oth term of the sequence: 1, 4, 7, 10, 13, ... ? a) 27 b) 28 c) 25 d) 31

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Q: Write the explicit formula of the sequence 25, 21, 17, 13

A: Given 25,21,17,13 It is in arthematic series Because it has difference 4 for each number.

Q: 14. The sum of the first 50 terms of the sequence 2, 8, 14, 20, 26, ...

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Q: 22 Which explicit formula has the same value for the nth term as the geometric sequence represented…

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Q: 3. Evaluate to find the sum of the first 7 terms in the arithmetic sequence. 8, 2, -4, ...- 28

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Q: 27 3. What is the formula for the nth term of the sequence: 8,-6, , 8. ...

A: The given sequence is 8, -6, 92, -278

Q: What are the first five terms in the recursive sequence defined by aj = 2 a2 = 3 An = an-2 an-1? O…

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Q: The general term of a sequence is given and involves a factorial. Write the first four terms of the…

A: Given:            an=n+1!n2 We calculate first four terms of the sequence, n=1, 2, 3 and 4…

Q: C. Using the recursive definition =3 (a,)` - ; if a, = 2. Create a sequence for the first five…

A: a1 =2 a2=7 a3=142

Q: Predict the general term, or nth term, an, of the sequence. 1 7, 2 8, 3 9, 4 10, ..

A: The given sequence is 1*7,2*8,3*9,4*10,...

Q: Consider the sequence: 9, 12. 17, 24,33 What is the explicit expression of the sequence? Find the…

A: As it is mentioned to write the quadratic equation for the explicit expression of the sequence,…

Q: ind a formula for the solution of the sequence An Зап-1 — 2ап-2, п23, а, — 2, а2 — 3 |

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Q: Find the sum of the first n terms of the geometric sequence. n = 6, a, = 4, r = 3 S6 =U %3D

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Q: 6 The nth tem ofa sequence is.guen find the first five terms of the sequence.

A: Simply put different values of "n" to get the desired term.

Q: 52. Find the sum of the first 60 terms of the sequence. {2, 10, 18, 26,...}

A: Solution:Given      the sum of the first 60 terms of the sequence{2,10, 18, 26,...}FormulaSn=n2…

Q: 4) Decide if the sequence is arithmetic, geometric, or neither. a) 1, 4, 9, 16, ... b) 10, 3, -4,…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: What is a formula for the nth term of the given sequence? 250, 100, 40...

A: Given Data: Sequence: 250, 100, 40...   The given sequence is a geometric sequence.   The constant…

Q: 2. Which explicit formula describes the sequence (87, 83.4, 79.8, 76.2, ...}? O an = 87 + (n-…

A: NOTE: Refresh your page if you can't see any equations. . the first term is  . the common ratio is…

Q: use a difference table to predict the next term of each sequence. a. 5, 6, 3, -4, -15, -30, -49, ?…

A: (a) To find: The next term of each sequence by the use of difference table. Given information: The…

Q: 1) Write the next four terms of the sequence: {42, 35, 28, 21, ...}. Express the nth term of the…

A: we have to slove the above question and find next four terms of the sequence

Q: The number of terms n of the arithmetic sequence : {2, 9, 16, 23, . . , 65} are O 11 O 9 O 8 O 10

A: The given sequence is:  2, 9, 16, 23, ..... , 65

Q: 1. What are the next three terms of the sequence shown below? 3, -6, 12, -24, ...

A: the given sequence is 3, -6, 12, -24,...............

Q: Write an expression for the apparent nth term of the sequence. (Assume that n begins with 1.)…

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Q: What are the first five terms in the recursive sequence defined by a1 2 a2 3 An = an-2 · An-1? O {2,…

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Q: Determine whether the statement, 'The sequence 2, 6, 24, 120, ........ is an example of a geometric…

A: Given:2,6,24,120.....

Q: 5. What is the 100th term of the arithmetic sequence 8, 12, 16, 20...? * 108 O 396 O 404 O 408

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Q: In the geometric sequence 6, 12, 24, 48, …. Which term is 768?

A: For Geometric armories nth term formula is an = a.rn-1 Where  r = common ratio              a= first…

Q: Write the recursive formula for each sequence. 7) 3, 9, 27, 81, 243, ... 08 Find the explicit…

A: A sequence is a succession of terms arranged in a definite order according to some defined rule. The…

Q: Determine if this sequence is geometric. If it is what is the explicit formula for the sequence?…

A: The sequence is given as 3, 12, 21, 30, ....

Q: 2, 10, 50, 250, .

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Q: use a difference table to predict the next term of each sequence. a. -2, 2, 12, 28, 50, 78, ? b.…

A: -2,  2,  12,  28,  50,  78,  ? The first differences are, 2--2=412-2=1028-12=1650-28=2278-50=28 The…

Q: Write a recursive formula for each sequence. 17, 21, 25, 29, ... 4, - 12, 36, – 108, ... O for n 2 2…

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Q: Which arithmetic sequence has a common difference of -21? O (1,563; 1,587; 1,611; 1,635;...) (32,…

A: Common difference means subtraction of second term and first term

Q: A. what is the 3rd term of the sequence defined by an=(-2n)n? B. What is the sum of the sequence…

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Q: B. Use inductive reasoning to predict the next three items in each list. Make a conjecture for the…

A: B) 1. The given sequence is 1, 3, 6, 10, 15, . . .This sequence follows the pattern as +2, +3, +4,…

Q: 10. Find the sum of the first 40 terms of the arithmetic sequence {1,6, 11, 16, . ..}. Make sure to…

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Q: What is the recursive formula for the sequence? 4, 24, 216, 2592, 38880, .. a1 = 4, an = 3na,-1 ај 3…

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Q: 13. Which of these is an infinite arithmetic sequence? O {724, -362, 181, -90.5} {691, 632, 573,…

A: Answer is given in next step.

Q: 12. The 8th term of an arithmetic sequence is 16, and the 18th term is 56. Find the sum of the first…

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Q: What is a formula for the nth term of the given sequence? 300, 180, 108...

A: the given sequence is 300, 180, 108...........

Q: You are asked find 6th ,and 7th  term in the sequence 1,3,6,10,15 ______________ What would it be?…

A: To find the 6th and 7th term in the sequence 1,3,6,10,15... and to explain it.

Q: Use inductive reasoning to find the next two terms of each sequence.   6. 1/2, 1/4, 1/8, 1/16…

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Q: 11. Write the formula for the nth term of the following sequence: 3,-9, 27,-81, 243, -..

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Q: Determine if this sequence is geometric. If it is what is the explicit formula for the sequence?…

A: In the question we have to determine whether the series is geometric or not.

Q: Write an explicit formula for a_nan​, the n^{\text{th}}nth term of the sequence 180, -30, 5,

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