please urgent

What is the sum of the first eight terms of the series?

(−800)+(−200)+(−50)+(−12.5)+...

 

Round the answer to two decimal places.

 

·        

−1066.68

·        

−1066.65

·        

−1066.60

·        

−1062.50

 

What is the sum of the first 7 terms of the series −4+8−16+32−... ?

 

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What is the sum of the series?

3+12+48+192+...+49,152

 

·        

49,907

·        

56,383

·        

65,535

·        

81,918

 

A bike rental company rented out 6 bikes in its first month. The number of bikes it rented tripled each month.
 

What was the total number of bikes the company rented out for the first 6 months?

 

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Michaela drops a ball vertically from a height of 80 feet. The peak height after each bounce is half the previous height.

How far does the ball travel from the time she drops it until it reaches the peak height after the 5th bounce?

 

·        

155 ft

·        

230 ft

·        

232.5 ft

·        

312.5 ft

 

 

The recursive rule for a sequence is shown.

an=an−1+7

a1=17

 

What is the explicit rule for this sequence?

 

·        

an=10n+7

·        

an=7n−10

·        

an=10n−7

·        

an=7n+10

 

 

The explicit rule for a sequence is

an=17−5n .

 

What is the recursive rule for the sequence?

 

·        

an=an−1−12,a1=5

·        

an=an−1+12,a1=5

·        

an=an−1−5,a1=12

·        

an=an−1+5,a1=12

 

 

The sales of homes in a new development have been increasing. In January, 8 homes were sold, in February, 12 homes were sold. In March, 16 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 the nth month of the year?

 

·        

an=4n+4

·        

an=4n−4

·        

an=−4n−4

·        

an=−4n+4

 

 

What is the explicit rule for the sequence?

 

34,26,18,10, …

 

·        

an=34n+42

·        

an=34n−26

·        

an=42−8n

·        

an=26−8n

 

 

When the town of Samuel Village first started its voluntary recycling program, 1200 of the town’s residence participated. The town predicts that the number of people participating in the recycling program will increase by 35% each year.

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

 

·        

an=1200(1.35)n

·        

an=1200(0.35)n

·        

an=1200(1.35)n−1

·        

an=1200(0.35)n−1

 

 

The explicit rule for a sequence is an=5(−2)n−1

 

What is the recursive rule for the sequence?

 

·        

an=−2(an+1)

 

,a1=5

·        

an=−5(an−1)

,a1=2

·        

an=−2(an−1),

a1=5

·        

an=−5(an+1)

,a1=2

 

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?

 

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$

 

 

On the first day of a measles outbreak at a school, 6 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 6^th day 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.

$

 

 

 

              8

What is ∑ (3n-1) equal to?

                    n=1

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                  4

What is ∑ [100(-4)n-1]equal to?

              n=1

 

Enter your answer in the box.

 

 

 

Find the sum of the series . Show your work.

 

 

A supermarket display consists of boxes of cereal. The bottom row has 23 boxes. Each row has three fewer boxes than the row below it. The display has six rows.

(a)   Write and use a function to determine how many boxes are in the top row. Show your work.

(a)   Use the appropriate formula to determine the number of boxes in the entire display. Show your work.

 

 

 

The number of visitors to a website in the first week is 50. The number of visitors each week is double the number of visitors the previous week. What is the total number of visitors to the website in the first 8 wk? Show your work.

Answer: