Sequence and Series Review

Grace is saving money each week. She starts with 10 pesos and adds 5 pesos every week. What do you call this sequence of her savings?

• arithmetic

• geometric

• quadratic

• neither

Samuel is collecting stamps, and he notices that the number of stamps he collects each week forms an arithmetic sequence. If he collected 10 stamps in the first week and 15 stamps in the second week, how can he find the common difference in his stamp collection?

Nora is saving money every month in an arithmetic sequence. If she saves 10 pesos in the first month, 20 pesos in the second month, and continues to increase her savings by 10 pesos each month, which of the following best describes the sum of the terms in her savings sequence?

• harmonic series

• geometric series

• arithmetic series

• common ratio

Grace is studying different types of sequences in her math class. She comes across several sequences and wonders which of them has a common ratio. Which of the following sequences does she find that has a common ratio?

• arithmetic

• geometric

• harmonic

• Fibonacci

Maya is studying geometric sequences in her math class. She wants to find the common ratio of a sequence where the second term is 12 and the first term is 6. How can she calculate the common ratio?

• multiply the two consecutive terms

Isla is collecting stamps, and she starts with a certain number of stamps. Each week, she adds a fixed number of stamps to her collection. Which of the following represents the general term/nth term of the number of stamps Isla has after n weeks?

Which of the following represents an arithmetic sequence?

• 3, 5, 8, 12, 17,...

• 3, -6, 12, -24, 48,...

• 1, 3, 9, 27, 81,...

• 11, 8, 5, 2, -1,...

• -30

• -27

• -26

• -23

Mason is planning a party and wants to arrange chairs in pairs. He decides to use the first seven consecutive even-numbered chairs for his guests. What is the total number of chairs he will use?

• 60

• 58

• 56

• 54

Mia is collecting the first six consecutive odd numbers for her math project. She wants to know what the sum of these numbers is. Can you help her find the answer?

• 50

• 40

• 36

• 24