Section 3.5 Arithmetic Sequences and Linear Functions

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Section 3.5 Arithmetic Sequences and Linear
Functions

• Algebra I

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What goes next?

• 3, 5, 7, 9, ____, ____, ____
• 33, 29, 25, _____, _____, _____
• -15, -13, -11, -9, _____, _____, _____

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Arithmetic Sequence

• An arithmetic sequence is a numerical pattern
  that increases or decreases at a constant rate
  called the common difference.

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Is it an arithmetic sequence?

• Determine whether each sequence is an arithmetic
  sequence. Explain.
• -26, -22, -18, -14
• 7/8, 5/8, 1/8, -5/8
• 1, 4, 9, 25

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nth term

• The nth term of an arithmetic sequence with the
  first term a1 and a common difference of d is
  given by an a1 (n 1)d, where n is a
  positive integer.

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Find the nth term

• 3, 5, 7, 9
• Write an equation for the nth term of the
  arithmetic sequence.
• Find the 9th term of the sequence.

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Find the nth term

• Shiloh and her friends spent the day at an
  amusement park. In the first hour, they rode 2
  rides. After 2 hours, they had ridden 4 ride.
  They had ridden 6 rides after 3 hours.
• Write a function to represent the arithmetic
  sequence.
• Graph the function and determine the domain.

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Find the nth term

• Write an equation for the nth term of the
  arithmetic sequence 1, 10, 19, 28, .
• Find the 12th term of the sequence.
• Graph the first five terms of the sequence.
• Which term of the sequence is 172?