For Exercises 7–14, determine whether the sequence is arithmetic. If so, find the common difference. (See Example 1) 7. 15, 19, 23, 27, ... 8. 256, 268, 280, 292, ... 9. 9, -2, –13, –24, ... 10. 8, 0, –8, –16, ... 14 16 15 9 21 11. 18, 22, 27, 33, .. 12. 2, 4, 8, 16, ... 13. 4, 3' 3* 6, ... 14. 3, 4' 2' 4

Q: The general term of the sequence is 2 -1 2 -1 2. - 1층글룸금.... 25 3 an = (-1)"+¹ ²1, n ≥ 1 (−1)²+12 n

A: Given :an=-1n+12n

Q: D. Determine the indicated term in the given geometric sequence, 1. a (1,3, 9, ...) 2. a (2,-4, 8..)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Match the geometric sequence at the left with its explicit and re formulas at the right. 5, 20, 80,…

A: NOTE: Since you have posted multiple questions, we have solved the first question for you.If there…

Q: For Exercise, determine whether the sequence is geometric. If so, find the value of r. 5 5 5 5, 3'…

A:

Q: What is the first term of the geometric sequence presented in the table below? n 4 9. 243 59,049…

A: Given a4 = 243          a9 = 59.049

Q: Find the sum to infinity of the geometric sequence given below 5. 16, 4, 1, ... 6. aj= 1000, r =…

A:

Q: Write a recursive formula for the arithmetic sequence rn given below. 13,5,−3,−11,−19,…

A:

Q: Find the explicit formula for the geometric sequence t, given below. Note that tị = 10. 5 5 5 10,…

A:

Q: For Exercise, write a formula for the nth term of the geometric sequence. 18 5' 5'5' 15’

A:

Q: the given pattern continues. Write down the nth term of a sequence {an} suggested by the pattern.

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

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…

A:

Q: For Exercise, determine whether the sequence is arithmetic. If so, find the common difference.  15,…

A: To determine whether the sequence is arithmetic or not and find the common difference.

Q: For Exercise, determine whether the sequence is geometric. If so, find the value of r. 3 3 3 10'…

A:

Q: Find the expression of the general term of the sequence given by: 2 4 8 1, 2'6' 24' 120’ 720 16 32

A:

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 ) * * ..

A:

Q: Use the following chart to develop an explicit formula for the geometric sequence. Choose the…

A: Given sequence is geometric, therefore general term is given by a×r^(n-1). According to given table…

Q: For Exercise, determine whether the sequence is geometric. If so, find the value of r. 5 15 45 135…

A:

Q: 1. What are the two rules that represent a geometric sequence? Write each rule below and describe…

A: Rules for Geometric sequence is as below : [a]   xn=arn-1where, a= first termr=common rationso…

Q: Given the sequence, formulate a rule for the given sequence. 1. { 0, 3, 6, 9,...} 2. { 3, 6, 9, 12,…

A: Consider the given sequence (1)  U=0, 3, 6, 9…… Here, first term a=0Common difference d=3-0=3=6-3=3…

Q: 4. The chart below represents the kinematics of a freely falling body. -malke cookies a Time…

A:

Q: For Exercise, find the number of terms of the finite arithmetic sequence.  7,16,25,34,,.........,574

A: 7,16,25,34,,.........,574First term = a_1=7Let there are n terms in the sequence.a_n=574d= common…

Q: Which arithmetic sequence has a common difference of -21?     A   {1,245; 1,224; 1,203; 1,182; …}…

A: Given, The arithmetic sequences  (A) 1,245; 1,224; 1,203; 1,182; …....  (B)  1,563; 1,587; 1,611;…

Q: Which of the following represents a geometric sequence with a common ratio r= 5? O2, 10, 15, 75, 375…

A:

Q: Choose the best definition for the following term: Geometric sequence

A:

Q: A piece of paper has an area of 81 cm?. A strip is cut off that is the original area. From that…

A: Given the sequence 81, 27, 9, 3, 1   Here a1=81, a2=27, a3=9, a4=3, a5=1   We have to check if it is…

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: Which of the following sequences represents an arithmetic sequence with a common difference d = -3?…

A:

Q: For Exercise, two terms of an arithmetic sequence are given. Find the indicated term.  c14 = 7.5,…

A: Given

Q: B. Analyze the given sequence for its rule and identify the next three terms. 1. А,Е, К, 2.…

A: Step:1 Since you have asked multiple question with multiple parts we will solve the first question…

Q: Write the first four terms of the geometric sequence. 1 a1 = 40, an Fan-1 ɑn–1 Select one: O a. 40,…

A: We will use given recurrence relation to find first four terms

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: Determine whether the sequence is arithmetic, geometric or neither. 1/3, 1/21, 1/147, 1/1029, 1/7203…

A:

Q: Based on the input/output chart below, answer the following questions in the space provided below.…

A:

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

A:

Q: Consider the following general term for a sequence 1 an = %3D n+3 What are the first five terms of…

A: Given Data: The general term of the sequence is: an=1n+3 ......1 For the first term, Substitute 1…

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

A:

Q: For Exercise, find the nth term an of a sequence whose first four terms are given. ( 5 10 15 20 4'…

A: To get the nth term an, we will try to write the sequence in general form. For which we will write…

Q: Determine whether the sequence is arithmetic, geometric or neither. 1/6, 1/30, 1/150, 1/750, 1/3750…

A:

Q: For Exercise, determine whether the sequence is geometric. If so, find the value of r. 2, 4 8 16

A:

Q: 4. For each situation below, circle whether or not it represents a geometric sequence. Justify your…

A: We have to check wheather or not geometric sequence

Q: Which of the following is a geometric sequence? O3, 5, 8, 11, ... O3, 5, 7, 9, ... O 64, 32, 16, 8,…

A: Given: Sn=3, 5, 8, 11,...Sn=3, 5, 7, 9,...Sn=64, 32, 16, 8,...Sn=-6, -8, -10,....

Q: Determine if the sequence below is arithmetic or geometric and determine the common difference /…

A: The given sequence is 3,5,7,.....

Q: For Exercise, find the nth term an of a sequence whose first four terms are given. 1· 2 1.2.3…

A: Let Tn be the nth term. Examine the numerator of T1 = 1.2; that of T2 = 1.2.3; that of T3 = 1.2.3.4…

Q: Which is a finite arithmetic sequence?   A     {2, 4, 6, 8, …}   B     {7, 10, 13, 16, 19}     C…

A: The given sequences are  A {2, 4, 6, 8, …} B{7, 10, 13, 16, 19} C {20, 10, 5, 2.5, 1.25} D{100, 10,…

Q: Given the following information about the arithmetic sequence an, find a17 . a6 = 8 a12 = 20

A:

Q: Assuming the pattern continues, which one of the following is NOT an arithmetic sequence? OA. 350,…

A:

Q: Consider the following sequences. Part 1 out of 2 а. 16.3, 16.5, 16.7, 16.9, .. Is this sequence…

A: