1. Lesson 1

1.6. Explore 2

Mathematics 20-1 Module 1

Module 1: Sequences and Series

 

Try This 2
 

Consider these examples of sequences.

 

 

A

1, 8, 15, 22, 29, 36, ...

B

1, 2, 4, 8, 16, 32, ...

C

2, 4, 6, 8, 10, 12, 14, ...

D

2, 3, 5, 8, 12, 17, 23, ...

E

40, 35, 30, 25, 20, 15, ...

Did You Know?
This is a play button that opens Arithmetic Pronunciation.

Arithmetic has two different pronunciations depending on how you are using the term. For example, if you use arithmetic as a noun, it is pronounced a-RITH-me-tic. Young children learn reading, writing, and arithmetic (a-RITH-me-tic). When you use the term as an adjective, it is pronounced a-rith-MET-ic. In high school math, adolescents learn about arithmetic (a-rith-MET-ic) sequences.

  1. In your own words, describe what is meant by a sequence.
  1. Some of the sequences in the table are based on a similar pattern. Study the sequences. Can you identify which sequences have a similar pattern?
  1. How are the sequences that you selected similar? Describe the common pattern.
  1. Refer to the definition for arithmetic sequence that you added to Module 1 Glossary Terms. Determine which sequences in the examples given in the table are arithmetic sequences. Were these the same sequences you selected in question 2?
  1. Look through the six sequences again to make sure you didn’t miss any. Describe the properties of the other sequences that disqualify them as arithmetic sequences.

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