The recursive rule for a sequence is shown.

a

n

=a

n1

+9

a

1

=21

What is the explicit rule for this sequence?

• a
• n
• =9n12
• a
• n
• =9n+12
• a
• n
• =12n9
• a
• n
• =12n+9

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The explicit rule for a sequence is

a

n

=4811n

.

What is the recursive rule for the sequence?

• a
• n
• =a
• n1
• 11,
• a
• 1
• =37
• a
• n
• =a
• n+1
• 11,
• a
• 1
• =37
• a
• n
• =a
• n1
• 37,
• a
• 1
• =11
• a
• n
• =a
• n1
• +37,
• a
• 1
• =11

________________________________

The sales of homes in a new development have been increasing. In January, 5 homes were sold, in February, 12 homes were sold. In March, 19 homes were sold. This pattern continued for the remainder of the year.

What is the explicit rule that can be used to find the number of homes sold in thenth month of the year?

• a
• n
• =7n+5
• a
• n
• =7n5
• a
• n
• =7n2
• a
• n
• =7n+2

________________________________

What is the explicit rule for the sequence?

12,6,0,6,...

• a
• n
• =18+6n
• a
• n
• =1812n
• a
• n
• =186n
• a
• n
• =66n

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When the town of Manning first started its voluntary recycling program, 2500 of the town's residence participated. The town predicts that the number of people participating in the recycling program will increase by 5% each year.

Which explicit rule can be used to determine the number of people participating in the program in the fifth year?

• a
• n
• =2500(0.05)
• n1
• a
• n
• =2500(1.05)
• n
• a
• n
• =2500(0.05)
• n
• a
• n
• =2500(1.05)
• n1

___________________________________

The explicit rule for a sequence isa

n

=7(4)

n1

an=7(4)n1.

What is the recursive rule for the sequence?

• a
• n
• =7(a
• n1
• ),
• a
• 1
• =4
• a
• n
• =4(a
• n1
• ),
• a
• 1
• =7
• a
• n
• =4(a
• n+1
• ),
• a
• 1
• =7
• a
• n
• =7(a
• n+1
• ),
• a
• 1
• =4

_______________________________

Akim runs 1.75 miles on his first day of training for a road race.The next day, he increases his distance run by 0.25 miles. The day after that, he increases his distance run by another 0.25 miles, and so on.

What is the total number of miles Akim runs over the course of 18 days?

• 68.5 mi
• 69.75 mi
• 70.25 mi
• 72.5 mi

_______________________________

Andrew earns an allowance of $4 the first week, $17 the next week, $30 the following week, and so on.

How much will Andrew earn over the course of 10 weeks?

Enter your answer in the box

_____________________________________

On the first day of a measles outbreak at a school, 5 students were identified to have the measles. Each day for the following two weeks, the number of new cases doubled from those identified with the disease the day prior.

How many students are identified to have measles in all at the end of the 6thday of the outbreak?

• 286
• 315
• 345
• 378

____________________________

Evelyn took a job that paid $100 the first week. She was guaranteed a raise of 2% each week.

How much money will she make in all over 8 weeks?

Round the answer to the nearest cent.

Enter your answer in the box.

$

___________________________________

What is

n=1

8

(3n1)

equal to?

Enter your answer in the box.

_________________________________

What is

n=1

4

[100(4)

n1

]

equal to?

Enter your answer in the box.

_____________________________