Exploring Sequences and Series in IB Mathematics

What is a sequence?

• A set with a specific pattern

• A list of random numbers

• A single number

• A mathematical operation

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CCSS.HSF.BF.A.2

Which of the following is an example of a series?

• 1, 2, 3, 4

• 1 + 2 + 3 + 4

• 1 x 2 x 3 x 4

• 1 - 2 - 3 - 4

Tags

CCSS.HSF.BF.A.2

What does the ellipsis (...) in a sequence indicate?

• The sequence repeats the last number

• The sequence has no pattern

• The sequence is ending

• The sequence continues indefinitely

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CCSS.HSF.BF.A.2

Which term describes the sum of the elements in a sequence?

• Set

• Series

• Pattern

• Progression

What defines an Arithmetic Progression (AP)?

• A sequence without any pattern

• A sequence with a common difference

• A sequence with a common ratio

• A sequence with decreasing numbers

Tags

CCSS.HSF.BF.A.2

What is the common difference in the AP sequence 3, 5, 7, 9?

• 3

• 2

• 4

• 5

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CCSS.HSF.BF.A.2

In an AP, if the first term is 5 and the common difference is 3, what is the third term?

• 9

• 10

• 8

• 11

Tags

CCSS.HSF.BF.A.2

How is a Geometric Progression (GP) different from an AP?

• GP has a common ratio, AP has a common difference

• GP has a common difference, AP does not

• GP uses addition, AP uses multiplication

• AP and GP are the same

Tags

CCSS.HSF.BF.A.2

What is the common ratio in the GP sequence 2, 4, 8, 16?

• 2

• 8

• 16

• 4

Tags

CCSS.HSF.BF.A.2

If a GP sequence starts with 3 and has a common ratio of 3, what is the second term?

• 6

• 12

• 9

• 15

Tags

CCSS.HSF.BF.A.2