C HAPTER 11 11.2: Arithmetic Sequences. D EFINITIONS An arithmetic sequence is when we add the same...

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CHAPTER 1111.2: Arithmetic Sequences

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.

IS THE SEQUENCE ARITHMETIC?

2, 4, 8, 16, …

6, 12, 18, …

48, 45, 42, …

ARITHMETIC FORMULAS

Recursive: an = an – 1 + d

Explicit: an = a1 + (n – 1)d

FINDING THE TERM

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

Find the 90th term of 5, 11, 17, …

ARITHMETIC MEAN

The arithmetic mean is the average of 2 numbers.

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

24, _______, 57

ASSIGNMENT

p. 596 2-30 evens

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