Objectives: 1. Recognize arithmetic sequences. 2. Relate arithmetic sequences to linear functions. 3-5 ARITHMETIC SEQUENCES AS LINEAR FUNCTIONS.

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Presentation transcript:

Objectives: 1. Recognize arithmetic sequences. 2. Relate arithmetic sequences to linear functions. 3-5 ARITHMETIC SEQUENCES AS LINEAR FUNCTIONS

During a 2,00 meter race, the coach of a women’s crew team recorded the team’s times at several intervals.  At 400 meters, the time was 1 minute 32 seconds  At 800 meters, it was 3 minutes 4 seconds  At 1200 meters, it was 4 minutes 36 seconds  At 1600 meters, it was 6 minutes 8 seconds They completed the race with a time of 7 minutes 40 seconds. We can relate this pattern of times to a linear function. Make a table to analyze the data. Distance (m) Time (min:sec)

SEQUENCE  Sequence: Set of numbers, called terms, in a specific order.  Arithmetic Sequence: When the difference between successive terms is constant.  The difference between the terms is called the common difference d.  The three dots used with the sequences are called an ellipsis. They indicate there are more terms in the sequence that are not listed.

EXAMPLE 1: DETERMINE WHETHER EACH SEQUENCE IS AN ARITHMETIC SEQUENCE. IF IT IS, FIND THE COMMON DIFFERENCE.

EXAMPLE 2: FIND THE NEXT THREE TERMS OF THE ARITHMETIC SEQUENCE.

 Pages : 9-17 odd, 18-20, 22, HOMEWORK