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CHAPTER 11 11.2: Arithmetic Sequences

C HAPTER 11 11.2: Arithmetic Sequences. D EFINITIONS An arithmetic sequence is when we add the same number to each term to get the next term. The number

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Page 1: C HAPTER 11 11.2: Arithmetic Sequences. D EFINITIONS An arithmetic sequence is when we add the same number to each term to get the next term. The number

CHAPTER 1111.2: Arithmetic Sequences

Page 2: C HAPTER 11 11.2: Arithmetic Sequences. D EFINITIONS An arithmetic sequence is when we add the same number to each term to get the next term. The number

DEFINITIONS

An arithmetic sequence is when we add the same number to each term to get the next term. The number added is the common difference.

Page 3: C HAPTER 11 11.2: Arithmetic Sequences. D EFINITIONS An arithmetic sequence is when we add the same number to each term to get the next term. The number

IS THE SEQUENCE ARITHMETIC?

2, 4, 8, 16, …

6, 12, 18, …

48, 45, 42, …

Page 4: C HAPTER 11 11.2: Arithmetic Sequences. D EFINITIONS An arithmetic sequence is when we add the same number to each term to get the next term. The number

ARITHMETIC FORMULAS

Recursive: an = an – 1 + d

Explicit: an = a1 + (n – 1)d

Page 5: C HAPTER 11 11.2: Arithmetic Sequences. D EFINITIONS An arithmetic sequence is when we add the same number to each term to get the next term. The number

FINDING THE TERM

Find the 76th term of 1100, 1135, 1170, …

Find the 90th term of 5, 11, 17, …

Page 6: C HAPTER 11 11.2: Arithmetic Sequences. D EFINITIONS An arithmetic sequence is when we add the same number to each term to get the next term. The number

ARITHMETIC MEAN

The arithmetic mean is the average of 2 numbers.

Find the missing term of the arithmetic sequence. 84, _______, 100

24, _______, 57

Page 7: C HAPTER 11 11.2: Arithmetic Sequences. D EFINITIONS An arithmetic sequence is when we add the same number to each term to get the next term. The number

ASSIGNMENT

p. 596 2-30 evens

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