What is the recursive rule for the sequence?

−22.7, −18.4, −14.1, −9.8, −5.5, ...

 

·        

an=an+1+4.3, where a1=−22.7

·        

an=an−1+4.3, where a1=−22.7

·        

an=an−1−4.3, where a1=−22.7

·        

an=an+1−4.3, where a1=−22.7

 

 

Which answer is the explicit rule for the sequence 11, 8.5, 6, 3.5, 1 ... ?

 

·        

an=13.5+2.5n

·        

an=13−1.5n

·        

an=13+2.5n

·        

an=13.5−2.5n

 

Which answer is the explicit rule for the sequence 3, 8, 13, 18, 23 ... ?

 

·        

an=−2+5n

·        

an=−2+3n

·        

an=2+5n

·        

an=−2−5n

 

The explicit rule for a sequence is given.

an=−2n+7

What is the recursive rule for the sequence?

 

·        

a1=5; an=an−1−2

·        

a1=−2; an=an−1+7

·        

a1=7; an=an−1−2

·        

a1=7; an=an−1+2

 

A supermarket finds that the number of boxes of a new cereal sold increases each week. In the first week, only 16 boxes of the cereal were sold. In the next week, 33 boxes of the cereal were sold and in the third week 50 boxes of the cereal were sold. The number of boxes of cereal sold each week represents an arithmetic sequence.

What is the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in week n?

 

·        

​ an=17n+1

·        

an=17n−33

·        

​​ an=17n+33

·        

an=17n−1

 

Enter the explicit rule for the geometric sequence.

9,6,4,8/3, …

an=

 

Enter a recursive rule for the geometric sequence.

10, −80, 640, −5120, ...

a1=  ;  an= 

 

The recursive rule for a geometric sequence is given. 

a1=2; an=1/3 an−1

 

Enter the explicit rule for the sequence.

an=  

 

 

The explicit rule for a sequence is given. 

an=3(1/6)n−1

 

Enter the recursive rule for the geometric sequence.

a1= ;  an=  

 

Madame Pickney has a rather extensive art collection and the overall value of her collection has been increasing each year. Three years ago, her collection was worth $500,000. Two years ago, the value of the collection was $550,000 and last year, the collection was valued at $605,000.

Assume that the rate at which Madame Pickney’s art collection’s value increase remains the same as it has been for the last three years. The value of the art collection can be represented by a geometric sequence. The value of the collection three years ago is considered the first term in the sequence.

What explicit rule can be used to determine the value of her art collection n years after that?

 

·        

an=500,000(1.15)n−1

·        

an=500,000(1.1)n−1

·        

an=500,000(1.5)n+1

·        

an=500,000(0.1)n−1

 

 

What is the sum of the series?

5

​ ∑ 3i

i=1

 

Enter your answer in the box.

 

 

 

What is the sum of the series?

4

∑(2k) ²

k=1

 

Enter your answer in the box.

 

What is the sum of the series?

6

∑ (2k-10)

k=3

 

Enter your answer in the box.

 

 

What is the sum of the first 21 terms of the arithmetic series?

−5+(−3)+(−1)+1+...

 

Enter your answer in the box.

 

 

What is 

32

∑ (4n+1) equal to?

n=1

 

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What is the sum of the first 200 natural numbers?

 

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The attendance for the first night of a play is 455. The attendance increases by 16 on each of the next 9 nights.

What is the total attendance for the 10 nights?

 

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Logs are stacked 7 rows high. The top row has 15 logs, the second row has 18 logs, and the third row has 21 logs. This pattern continues similarly.

What is the total number of logs in the stack?

 

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