Question 1

$3, 7, 11, 15, 19,...$ is what type of sequence?

Accepted Answer

arithmetic

Answer

geometric

Answer

neither arithmetic nor geometric

Question 2

$3, 6, 12, 24, 48, ...$ is what type of sequence?

Accepted Answer

geometric

Answer

arithmetic

Answer

neither arithmetic nor geometric

Question 3

$-10, -8, -6, -4, -2, 0, 2, 4, ...$ is what type of sequence?

Accepted Answer

arithmetic

Answer

geometric

Answer

neither arithmetic nor geometric

Question 4

$-1, 5, 11, 17, 23, 29, ...$ is what type of sequence?

Accepted Answer

arithmetic

Answer

neither arithmetic nor geometric

Answer

geometric

Question 5

$1, 4, 9, 16, 25, 36, ...$ is what type of sequence?

Accepted Answer

neither arithmetic nor geometric

Answer

arithmetic

Answer

geometric

Question 6

$1, 1, 2, 3, 5, 8, 13, 21, ...$ is what type of sequence?

Accepted Answer

neither arithmetic nor geometric

Answer

geometric

Answer

arithmetic

Question 7

$1, 5, 25, 125, ...$ is what type of sequence?

Accepted Answer

geometric

Answer

arithmetic

Answer

neither arithmetic nor geometric

Question 8

$13, 33, 53, 73, 93, ...$ is what type of sequence?

Accepted Answer

arithmetic

Answer

geometric

Answer

neither arithmetic nor geometric

Question 9

Describe this sequence:  1, -2, -5, _____

Accepted Answer

This sequence has a common difference of -3.

Answer

This sequence has a common difference of 3.

Answer

This sequence has a common ratio of -3.

Answer

This sequence has a common ratio of 3.

Question 10

What is the next term in the sequence?  1, -2, -5, _____

Accepted Answer

$-8$

Question 11

Describe this sequence:  2, -10, 50, ...

Accepted Answer

This sequence has a common ratio of -5.

Answer

This sequence has a common ratio of 5.

Answer

This sequence has a common difference of -5.

Answer

This sequence has a common difference of 5.

Question 12

What is the next term in the sequence?  2, -10, 50, __

Accepted Answer

$-250$

Question 13

Describe this sequence:  128, 32, 8, ...

Accepted Answer

This sequence has a common ratio of $\frac{1}{4}$.

Answer

This sequence has a common difference of $\frac{1}{4}$.

Answer

This sequence has a common difference of -$\frac{1}{4}$.

Answer

This sequence has a common ratio of -$\frac{1}{4}$.

Question 14

What is the next term in the sequence?  128, 32, 8, ___

Accepted Answer

$2$

Question 15

If you plot the points $(n,a(n))$ of an arithmetic sequence, the points form a straight line.

Accepted Answer

true

Answer

false

Question 16

If you plot the points $(n,g(n))$ of an geometic sequence, the points form a straight line.

Accepted Answer

false

Answer

true

Question 17

Which is the RECURSIVE formula for the sequence:  243, 81, 27, 9, 3

Accepted Answer

$H(n)=H(n-1)\cdot\frac{1}{3}$; $H(1)=243$

Answer

$H(n)=H(n-1)\cdot3$;$H(1)=243$

Answer

$H(n)=243(3)^{n-1}$

Answer

$H(n)=243(\frac{1}{3})^{n-1}$

Question 18

Which is the RECURSIVE formula for the sequence: -15, 5, 25, 45, 65, ...

Accepted Answer

$A_{n}=A_{n-1}+20$; $A(1) =-15$

Answer

$A_{n}=-15+20(n-1)$

Answer

$A_{n}=20-15(n-1)$

Answer

$A_{n}=A_{n-1}-15$; $A(1) =20$

Question 19

What is the EXPLICIT formula for the sequence: 1.5, 4.5, 7.5, 10.5, 13.5, ...

Accepted Answer

$B(n)=1.5 + 3(n-1)$

Answer

$B(n)=B(n-1)+3$; $B(1)=1.5$

Answer

$B(n)=3 + 1.5(n-1)$

Answer

$B(n)=B(n-1)+3$

Question 20

What is the 50th term of this ARITHMETIC sequence?     3, 10, 17, 24, 31, ...

Accepted Answer

346

Question 21

Mr. Brust and Mr. Bean are having a competition to raise funds for their favorite charity, Math Teachers Nerd Society.  However they both have different approaches.  Mr. Brust is going to start with $150 and add $100 more each month.  Mr. Bean is going to start with $3 but will double that amount each month.  How much money will Mr. Brust bring in during the 12th month?

Accepted Answer

$1250

Question 22

Mr. Brust and Mr. Bean are having a competition to raise funds for their favorite charity, Math Teachers Nerd Society.  However they both have different approaches.  Mr. Brust is going to start with $150 and add $100 more each month.  Mr. Bean is going to start with $3 but will double that amount each month.  How much money will Mr. Bean bring in during the 12th month?

Accepted Answer

6144

Question 23

Consider the following sequence: 15, 19, 23, 27, 31, 35, ...     What is the common difference?

Accepted Answer

4

Question 24

Consider the following sequence: 15, 19, 23, 27, 31, 35, ...     Write a recursive formula for the sequence.

Accepted Answer

$a_{n}=a_{n-1}+4$

Answer

$a_{n}=a_{n-1}-15$

Answer

$a_{n}=a_{n-1}-4$

Answer

$a_{n}=a_{n-1}+15$

Question 25

Consider the following sequence: 15, 19, 23, 27, 31, 35, ...     Write an explicit formula for the sequence.

Accepted Answer

$a_{n}=15+4(n-1)$

Answer

$a_{n}=4-15(n-1)$

Answer

$a_{n}=15-4(n-1)$

Answer

$a_{n}=4+15(n-1)$

Question 26

Consider the following sequence:  15, 19, 23, 27, 31, 35, ... .  What is the $70^{th}$ term of this ARITHMETIC sequence?

Accepted Answer

291

Question 27

Consider the following sequence: 5, 15, 45, 135, 405, ...     What is the common ratio?

Accepted Answer

+3

Question 28

Consider the following sequence: 5, 15, 45, 135, 405, ...     Write a recursive formula for the sequence.

Accepted Answer

$g(n)=g(n-1)\cdot3$

Answer

$g(n)=g(n-1)\cdot\frac{1}{5}$

Answer

$g(n)=g(n-1)\cdot\frac{1}{3}$

Answer

$g(n)=g(n-1)\cdot5$

Question 29

Consider the following sequence: 5, 15, 45, 135, 405, ...     Write an explicit formula for the sequence.

Accepted Answer

$f(n)=5\cdot3^{n-1}$

Answer

$f(n)=3\cdot5^{n-1}$

Answer

$f(n)=5\cdot\frac{1}{3}^{n-1}$

Answer

$f(n)=\frac{1}{3}\cdot5^{n-1}$

Question 30

Consider the following sequence: 5, 15, 45, 135, 405, ...     What is the $10^{th}$ term of this geometric sequence?

Accepted Answer

98,415

Question 31

Jamon and Asia were asked to find an explicit formula for the following sequence:  47, 81, 115, 149, ... .  Jamon said the formula is $h(n)=47+34n$.  Asia said the formula is $h(n)=47+34(n-1)$.  Who was correct?

Accepted Answer

Only Asia.

Answer

Only Jamon.

Answer

Both Asia and Jamon.

Answer

Neither Jamon nor Asia.

Question 32

Marquece and Ali-yah were asked to find an explicit formula for the following sequence:  12, 28, 44, 60, ... .  Marquece said the formula is $b(n)=12+16(n-1)$.  Ali-yah said the formula is $b(n)=-4+16n$.   Who is correct?

Accepted Answer

Both Marquece and Ali-yah.

Answer

Neither Ali-yah nor Marquece.

Answer

Only Ali-yah.

Answer

Only Marquece.

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