For Exercises 15–18, a. Write the first five terms of an arithmetic sequence with the given first term and common difference. b. Write a recursive formula to define the sequence. (See Example 2) 15. aj = 3, d = 10 16. aj = 6, d = 5 17. aj = 4, d = -2 18. a, = 5, d = -3

Q: For Exercises 7–14, determine whether the sequence is arithmetic. If so, find the common difference.…

A: As there are multiple questions, 7 is solved here.

Q: 1. Determine if the sequence is linear, quadratic, or neither. Write a sentence to justify your…

A: The first thing to do here is to plot the points. It can be seen that the points reach a minimum…

Q: Write a rule for the n th term of the geometric sequence for which a, = 28 and a, = 1792. %3D

A: Given: a2=28a5=1792

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: What is the common difference of the arithmetic sequence 5,8, 11, 14? 1) 2) -3 3) 3 4) 9

A: Given arithmetic sequence is 5,8,11,14 find the common difference of arithmetic sequence  d=an-an-1…

Q: what is an arithmetic sequence, the history , definition and uses?

A: We are asked to write about an arithmetic sequence

Q: Write a definition for the ,th term of sequence B. Sequence B 441 42 40 38 36 34 32 30 26 24 22 20…

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Q: Write a rule for the n th term of the geometric sequence for which a, = 64 and a,=1.

A: Solving by geometric sequence we have

Q: tell whether the sequence is arithmetic. 11 2 5 6' 3' 2' 3 1. ' 6

A: We have to tell that the given sequence is arithmetic or not: 16, 13, 12, 23, 56, ...... We know…

Q: What is the formula for the arithmetic sequence if the sum of the same sequence is given by s, = 2n…

A: Given that, Sn=2n+3n2 Formula for the sum of the arithmetic progression is Sn=n2{2a+(n-1)d} --- (1)…

Q: For Exercises 35–38, find the number of terms of the finite arithmetic sequence. (See Example 5) 35.…

A: The general form of arithmetic sequence is a,a+d,a+2d ,a+3d,.... , where a is the initial term and d…

Q: Write an explicit formula for the geometric sequence 4. 4 3 92 4 4 7(5 pts) 27 ) * * ..

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Q: Write an expression that gives the requested sum. The sum of the first 36 terms of the geometric…

A:

Q: Which explicit formula describes the geometric sequence { 1 1 1 3' 9 27 ' 81 .. n-1 an=+(n- 1) ()…

A: The given sequence is: 13,19,127,181,... That is: 13,132,133,134,... So, the general form of the…

Q: Find the sum cf the first 50 terms of the arithmetic sequence below. - 13, -6, 1, 8, The sum is

A: We have to find the sum

Q: Which of the following is NOT a geometric sequence? О5, 20, 45, 80, O4, – 12, 48, – 144, ... 08, 40,…

A: we know that if the sequence is in Geomentric sequence that is a1,a2,a3,a4,.....than the ratios that…

Q: The first two numbers in a sequence h are h(1) = 2 and h(2) = 6. If h is an arithmetic sequence,…

A: Given: h1=2, h2=6 We know that nth termTn of arithmetic sequence is given by Tn=a+n-1d…

Q: Write the recursive formula for the geometric sequence below 7 49 3 3 1 1 21' 3' A(1) = A(n) = A(n-…

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Q: Find the indicated term of the geometric sequence. 6, -4,.; ...; a7 3 a7 =

A: Consider the geometric sequence 6, −4, 8/3, ⋯

Q: What is a common ratio of the geometric sequence whose first term is 5 and third term is 245? 5 1)7…

A: The geometric series has first term is 5 and the third term is 245   Geometric sequence formula:…

Q: The first three terms of an arithmetic sequence are 7, 10.5, 14. a. What is the 31st term of the…

A: We have to find: a 31st term of the sequence b sum of first 31 terms of the sequence Where three…

Q: Write an expression for the sum of the first n terms of a geometric sequence.

A: Given data:   The given number of terms in the geometric sequence is: n.   The expression for the n…

Q: The first three terms of an arithmetic sequence are 7, 10.5, 14. A) What is the 31st term of the…

A: The terms of the AP are, a1=7a2=10.5a3=14   The common difference is, d=a2-a1=10.5-7=3.5   Thus, the…

Q: In Exercises 45–52, write an expression for the nth term of the sequence and then determine whether…

A: Given sequence is -2,1,6,13,22,... Obtain the difference between two successive terms.…

Q: For Exercises 32-34, determine whether the sequence is geometric. If so, find the value of r. 3 3…

A: The sequence in which each term is a constant multiple of the previous terms can be termed as…

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: Find the common difference , d, of the arithmetic sequence: 1/2, 3/4, 1, 5/4, 3/2, 7/4, 2...

A: If a1 , a2 , a3 , . . . , an , . . . be a arithmetic sequence then common difference d = a2 - a1 =…

Q: After each bounce, the height of the ball is measured and recorded in the table. Bounce Number…

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Q: For Exercises 19–24, write the first five terms of a geometric sequence {an} based on the given…

A:

Q: Write a recursive formula for the geometric sequence an given below. 10,10/3,10/9,10/27,10/81,…

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Q: What is the first term in the geometric sequence given that a4 = 40 and r = -? %3D 2

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Q: What is the common difference, the general term equation, and the 12th term of the arithmetic…

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Q: Please answer the questions with solution. What is the next term in the geometric sequence 3, −9,…

A: we have to find

Q: Write an expression that gives the requested sum. The sum of the first 30 terms of the geometric…

A:

Q: Which explicit formula represents an arithmetic sequence with a first term of 19 and a common…

A: Given: a first term of 19 and a common difference of 4 a=19  and common difference d= 4 The general…

Q: By writing a1, a2, a3, a4, . . . , an, . . . , I can see that the range of a sequence is the set of…

A: Given: a1, a2, a3, a4, . . . , an, . . .  range of the sequence is the positive set of integer

Q: What is the common ratio of the geometric sequence whose first term is 27 and fourth term is 64? 1)…

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Q: the sequence is arithmetic. .100, 50, 25, 12.5, 6.25,

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Q: Write an expression that gives the requested sum. The sum of the first 31 terms of the geometric…

A:

Q: For Exercises 15–18, a. Write the first five terms of an arithmetic sequence with the given first…

A: A sequence is a function from the set of natural numbers to the set of real numbers. For a sequence…

Q: The missing term of the arithmetic sequence, 31, [ ], 47

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Q: 1. Find the 15th term: Hint: Is the sequence arithmetic or geometric? -4,3,10,17, ..

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Q: What is the missing term of the geometric sequence below? 7,2.63.... A 3 21 28 D 35

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Q: Look at the pattern and then predict the general term, or nth term, an, of the sequence. -3,6, -9,…

A: Observe the series and determine the an of the sequence.

Q: Write a recursive rule for the geometric sequence shown on the graph. 7. 200 fn), 8. 10 (1, 10) 160…

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Q: Find an explicit formula for a sequence of the form a a2, a3 with the initial terms given below. ...…

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Q: the following sequence arithmetic? 4, - 10, - 24, - 38, - 52, .... Select one: a. Yes b. No c.…

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Q: For Exercise, find the number of terms of the finite arithmetic sequence  11, 10.7, 10.4, 10.1, … ,…

A: Given, terms of the finite arithmetic sequence11, 10.7, 10.4, 10.1, …  −3.4

Q: Using your own words explain the solution in finding the 18th term of an arithmetic sequence with…

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