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Sequences Sample Questions:

Question 1: Write the next term of the following arithmetic sequence.



 

Answer: 

Explanation: Identify the common difference.


 

Question 2: Find the term of the sequence: 



Answer: 

Explanation: Plug , and solve.


 

Question 3: Write the next term of the following geometric sequence.




Answer: 

Explanation: Identify the common ratio.


 

Question 4: Given the recursive form of arithmetic sequence:



Write the explicit formula for the above sequence.


Answer: 

Explanation: Write the first term and the common difference.


 

Question 5: Given the explicit form of arithmetic sequence:



Write the recursive formula for the above sequence.

 

Answer: 

Explanation: Write the first term and the common difference.


 

Question 6: Write the explicit formula for the given arithmetic sequence.
 


Answer: 

Explanation: Write the first term and the common difference.


 

Question 7: Write the next term of the following geometric sequence.



Answer: 

Explanation: Identify the common ratio.


 

Question 8: Write the term of the sequence: 



Answer: 

Explanation: Put , and solve.


 

Question 9: Given the explicit form of the geometric sequence:

Write the recursive formula for the above sequence.

 

Answer:

Explanation: Write the first term and the common difference.


 

Question 10: Given the recursive form of the geometric sequence:



Write the explicit formula for the above sequence.


Answer: 

Explanation: Write the first term and the common difference.

 

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