Question 1

Several logs are stored in a pile with 30 logs on the bottom layer,29 on the second layer,28 on the third layer,and so on.If the top layer has one log,how many logs are in the pile? ​

Accepted Answer

A)  464
B)  465
C)  450
D)  435
E)  none of the above

Question 2

Write the first five terms of the sequence.Determine whether the sequence is arithmetic.If so,find the common difference.(Assume that n begins with 1. )  ​
An = 2 + (n ​- 2) 5
​

Accepted Answer

A)  17,12,7,2,-3 Arithmetic sequenceD = -5
B)  -3,2,7,12,17 Arithmetic sequenceD = 5
C)  -3,2,7,12,17 Arithmetic sequenceD = -5
D)  32,27,22,17,12 Arithmetic sequenceD = -5
E)  12,17,22,27,32 Arithmetic sequenceD = 5 B

Question 3

Determine whether the sequence is arithmetic.If so,find the common difference. 5,25,125,625,3125

Accepted Answer

A)  -5
B)  5
C)  5n - 5n - 1
D)  not arithmetic
E)  ​5n

Question 4

Write the first five terms of the sequence.Determine whether the sequence is arithmetic.If so,find the common difference.(Assume that n begins with 1. )  ​
An = (-2) n
​

Accepted Answer

A)  ​-2,4,-8,16,-32 Not an Arithmetic sequence
B)  -32,-16,-8,-4,-2 Arithmetic sequenceD = 2
C)  -2,4,-8,16,-32 Arithmetic sequenceD = -2
D)  -2,4,-8,-16,-32 Arithmetic sequenceD = 2
E)  -32,-16,-8,4,-2 Not an Arithmetic sequence

Question 5

Find a formula for an ​for the arithmetic sequence. ​
16,11,6,1,-4,...
​

Accepted Answer

A)  an ​= 1 - 5n
B)  an ​= 1 + 5n
C)  an ​= -5n + ​21
D)  an ​= 5n - 21
E)  an ​= 5n + 21

Question 6

Write the first five terms of the arithmetic sequence. ​
A1 = 4,a12 = 48
​

Accepted Answer

A)  -4,-12,-20,-22,-24
B)  -4,-8,-12,-16,-20
C)  20,16,12,8,4
D)  -4,-12,-20,-8,-16
E)  4,8,12,16,20

Question 7

Use a graphing utility to graph the first 10 terms of the sequence.(Assume that n begins with 1. ) You may need to adjust the graphing window to the sizes indicated below to answer the question. ​
​an = -0.4n + 12
​

Accepted Answer

A)   n = -0.4n + 12 ​ 
A)     ​ 
B)     
C)  ​   
D)     
E)    " class="answers-bank-image d-inline" rel="preload" > ​
B)   n = -0.4n + 12 ​ 
A)     ​ 
B)     
C)  ​   
D)     
E)    " class="answers-bank-image d-inline" rel="preload" >
C)  ​ n = -0.4n + 12 ​ 
A)     ​ 
B)     
C)  ​   
D)     
E)    " class="answers-bank-image d-inline" rel="preload" >
D)   n = -0.4n + 12 ​ 
A)     ​ 
B)     
C)  ​   
D)     
E)    " class="answers-bank-image d-inline" rel="preload" >
E)   n = -0.4n + 12 ​ 
A)     ​ 
B)     
C)  ​   
D)     
E)    " class="answers-bank-image d-inline" rel="preload" >

Question 8

Write the nth term of the arithmetic sequence as a function of n. ​
A1 = -7,ak + 1 = ak + 4

Accepted Answer

A)  an = 3 + 4n
B)  an = -7 + 4n
C)  an = 11 - 7n
D)  an = -3 + 4n
E)  an = -11 + 4n

Question 9

Determine whether the sequence is arithmetic.If so,find the common difference. ​
​5) 3,5.7,6.1,6.5,6.9,...
​

Accepted Answer

A)  Arithmetic sequence,d = -0.4
B)  Arithmetic sequence,d = -1.6
C)  Arithmetic sequence,d = 0.8
D)  Arithmetic sequence,d = 0.4
E)  Not an arithmetic sequence

Question 10

Write the first five terms of the arithmetic sequence. ​
A1 = 8,d = 8
​

Accepted Answer

A)  16,24,32,40,8
B)  8,16,24,32,48
C)  8,16,24,32,40
D)  16,24,32,40,48
E)  8,0,24,32,40 C

Question 11

Write the first five terms of the arithmetic sequence. ​
A1 = 5,d = 7
​

Accepted Answer

A)  5,12,19,26,33
B)  12,19,26,33,40
C)  5,-2,-9,-16,-23
D)  5,12,17,22,27
E)  5,35,245,1715,12005

Question 12

Write the first five terms of the sequence.Determine whether the sequence is arithmetic.If so,find the common difference.(Assume that n begins with 1. )  ​
An = (2n) n
​

Accepted Answer

A)  2,8,24,64,160 Arithmetic sequenceD = -2
B)  160,64,24,8,2 Arithmetic sequenceD = 2
C)  160,64,24,8,2 Not an Arithmetic sequence
D)  2,8,24,64,160 Arithmetic sequenceD = 2
E)  2,8,24,64,160 Not an Arithmetic sequence

Question 13

Find the sum of the finite arithmetic sequence. ​
3 + 7 + 11 + 15 + 19 + 23 + 27
​

Accepted Answer

A)  107
B)  109
C)  105
D)  1105
E)  113

Question 14

The first two terms of the arithmetic sequence are given.Find the indicated term.?  a1=−1,a2=6,a11=□a _ { 1 } = - 1 , a _ { 2 } = 6 , a _ { 11 } =\squarea1​=−1,a2​=6,a11​=□  ?

Accepted Answer

A)  -3
B)  69
C)  76
D)  83
E)  -4

Question 15

Find a formula for an ?for the arithmetic sequence. ?
A1 = 8,a4 = 18
?

Accepted Answer

A)  an ?=  143\frac { 14 } { 3 }314​  + 14n
B)  an ?=  143\frac { 14 } { 3 }314​  - 14n
C)  an ?=  103\frac { 10 } { 3 }310​  n -  143\frac { 14 } { 3 }314​ 
D)  an ?=  103\frac { 10 } { 3 }310​  n + 14
E)  an ?=  103\frac { 10 } { 3 }310​  n +  143\frac { 14 } { 3 }314​ E

Question 16

Determine whether the sequence is arithmetic.If so,find the common difference. ​
7,12,17,22,27,...
​

Accepted Answer

A)  Arithmetic sequence,d = 5
B)  Arithmetic sequence,d = 10
C)  Arithmetic sequence,d = -5
D)  Arithmetic sequence,d = -27
E)  Not an arithmetic sequence

Question 17

Find a formula for an ?for the arithmetic sequence. ?
A1 = 0,d = -  67\frac { 6 } { 7 }76​  ?

Accepted Answer

A)  an ?=  67\frac { 6 } { 7 }76​  n -  67\frac { 6 } { 7 }76​ 
B)  an ?= -  76\frac { 7 } { 6 }67​  n -  76\frac { 7 } { 6 }67​ 
C)  an ?= -  67\frac { 6 } { 7 }76​  n +  67\frac { 6 } { 7 }76​ 
D)  an ?=  67\frac { 6 } { 7 }76​  n +  67\frac { 6 } { 7 }76​ 
E)  an ?= -  76\frac { 7 } { 6 }67​  n +  76\frac { 7 } { 6 }67​

Question 18

Write the first five terms of the arithmetic sequence defined recursively. ​
A1 = 0.275,an + 1 = an + 0.25
​
​

Accepted Answer

A)  0.275,0.525,0.775,1.025,1.775
B)  -0.275,-0.525,-0.775,-1.025,-1.275
C)  0.275,0.525,0.775,1.025,1.525
D)  -0.275,-0.525,-0.775,-1.025,-1.525
E)  0.275,0.525,0.775,1.025,1.275

Question 19

Determine whether the sequence is arithmetic.If so,find the common difference. ​
​16,14,12,10,8,...
​

Accepted Answer

A)  Arithmetic sequence,d = -8
B)  Arithmetic sequence,d = 2
C)  Arithmetic sequence,d = ​4
D)  Arithmetic sequence,d = -2
E)  Not an arithmetic sequence

Question 20

Find a formula for an ?for the arithmetic sequence. ?a3 = 94,a6 = 87
?

Accepted Answer

A)  an ?=  73\frac { 7 } { 3 }37​  n - 101
B)  an ?=  −73- \frac { 7 } { 3 }−37​  n + 101
C)  an ?= 101 - 303n
D)  an ?=  73\frac { 7 } { 3 }37​  n + 303
E)  an ?= 101 + 303n

Exam 53: Arithmetic Sequences and Partial Sums

Several logs are stored in a pile with 30 logs on the bottom layer,29 on the second layer,28 on the third layer,and so on.If the top layer has one log,how many logs are in the pile? ​

Correct AnswerverifiedShow Answer

Write the first five terms of the sequence.Determine whether the sequence is arithmetic.If so,find the common difference.(Assume that n begins with 1. ) ​ An = 2 + (n ​- 2) 5 ​

Correct AnswerverifiedB

Determine whether the sequence is arithmetic.If so,find the common difference. 5,25,125,625,3125

Correct AnswerverifiedShow Answer

Write the first five terms of the sequence.Determine whether the sequence is arithmetic.If so,find the common difference.(Assume that n begins with 1. ) ​ An = (-2) n ​

Correct AnswerverifiedShow Answer

Find a formula for an ​for the arithmetic sequence. ​ 16,11,6,1,-4,... ​

Correct AnswerverifiedShow Answer

Write the first five terms of the arithmetic sequence. ​ A1 = 4,a12 = 48 ​

Correct AnswerverifiedShow Answer

Use a graphing utility to graph the first 10 terms of the sequence.(Assume that n begins with 1. ) You may need to adjust the graphing window to the sizes indicated below to answer the question. ​ ​an = -0.4n + 12 ​

Correct AnswerverifiedShow Answer

Write the nth term of the arithmetic sequence as a function of n. ​ A1 = -7,ak + 1 = ak + 4

Correct AnswerverifiedShow Answer

Determine whether the sequence is arithmetic.If so,find the common difference. ​ ​5) 3,5.7,6.1,6.5,6.9,... ​

Correct AnswerverifiedShow Answer

Write the first five terms of the arithmetic sequence. ​ A1 = 8,d = 8 ​

Correct AnswerverifiedC

Write the first five terms of the arithmetic sequence. ​ A1 = 5,d = 7 ​

Correct AnswerverifiedShow Answer

Write the first five terms of the sequence.Determine whether the sequence is arithmetic.If so,find the common difference.(Assume that n begins with 1. ) ​ An = (2n) n ​

Correct AnswerverifiedShow Answer

Find the sum of the finite arithmetic sequence. ​ 3 + 7 + 11 + 15 + 19 + 23 + 27 ​

Correct AnswerverifiedShow Answer

The first two terms of the arithmetic sequence are given.Find the indicated term.? a1=−1,a2=6,a11=□a _ { 1 } = - 1 , a _ { 2 } = 6 , a _ { 11 } =\squarea1​=−1,a2​=6,a11​=□ ?

Correct AnswerverifiedShow Answer

Find a formula for an ?for the arithmetic sequence. ? A1 = 8,a4 = 18 ?

Correct AnswerverifiedE

Determine whether the sequence is arithmetic.If so,find the common difference. ​ 7,12,17,22,27,... ​

Correct AnswerverifiedShow Answer

Find a formula for an ?for the arithmetic sequence. ? A1 = 0,d = - 67\frac { 6 } { 7 }76​ ?

Correct AnswerverifiedShow Answer

Write the first five terms of the arithmetic sequence defined recursively. ​ A1 = 0.275,an + 1 = an + 0.25 ​ ​

Correct AnswerverifiedShow Answer

Determine whether the sequence is arithmetic.If so,find the common difference. ​ ​16,14,12,10,8,... ​

Correct AnswerverifiedShow Answer

Find a formula for an ?for the arithmetic sequence. ?a3 = 94,a6 = 87 ?

Correct AnswerverifiedShow Answer

Several logs are stored in a pile with 30 logs on the bottom layer,29 on the second layer,28 on the third layer,and so on.If the top layer has one log,how many logs are in the pile?

Correct Answer
verified

Write the first five terms of the sequence.Determine whether the sequence is arithmetic.If so,find the common difference.(Assume that n begins with 1. ) A_n = 2 + (n - 2) 5

Correct Answer
verified
B

Correct Answer
verified

Write the first five terms of the sequence.Determine whether the sequence is arithmetic.If so,find the common difference.(Assume that n begins with 1. ) A_n = (-2) n

Correct Answer
verified

Find a formula for a_nfor the arithmetic sequence. 16,11,6,1,-4,...

Correct Answer
verified

Write the first five terms of the arithmetic sequence. A₁ = 4,a₁₂ = 48

Correct Answer
verified

Use a graphing utility to graph the first 10 terms of the sequence.(Assume that n begins with 1. ) You may need to adjust the graphing window to the sizes indicated below to answer the question. a_n = -0.4n + 12

Correct Answer
verified

Write the nth term of the arithmetic sequence as a function of n. A₁ = -7,ak_{+ 1} = a_k + 4

Correct Answer
verified

Determine whether the sequence is arithmetic.If so,find the common difference. 5) 3,5.7,6.1,6.5,6.9,...

Correct Answer
verified

Write the first five terms of the arithmetic sequence. A₁ = 8,d = 8

Correct Answer
verified
C

Write the first five terms of the arithmetic sequence. A₁ = 5,d = 7

Correct Answer
verified

Write the first five terms of the sequence.Determine whether the sequence is arithmetic.If so,find the common difference.(Assume that n begins with 1. ) A_n = (2n) n

Correct Answer
verified

Find the sum of the finite arithmetic sequence. 3 + 7 + 11 + 15 + 19 + 23 + 27

Correct Answer
verified

The first two terms of the arithmetic sequence are given.Find the indicated term.? $a _ { 1 } = - 1 , a _ { 2 } = 6 , a _ { 11 } =\square$ ?

Correct Answer
verified

Find a formula for a_n?for the arithmetic sequence. ? A₁ = 8,a₄= 18 ?

Correct Answer
verified
E

Determine whether the sequence is arithmetic.If so,find the common difference. 7,12,17,22,27,...

Correct Answer
verified

Find a formula for a_n?for the arithmetic sequence. ? A₁ = 0,d = - $\frac { 6 } { 7 }$ ?

Correct Answer
verified

Write the first five terms of the arithmetic sequence defined recursively. A₁ = 0.275,an_{+ 1} = a_n + 0.25

Correct Answer
verified

Determine whether the sequence is arithmetic.If so,find the common difference. 16,14,12,10,8,...

Correct Answer
verified

Find a formula for a_n?for the arithmetic sequence. ?a₃ = 94,a₆ = 87 ?

Correct Answer
verified