1'2 Problem solving with patterns

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1.2 Problem solving with patterns

• Sequence An ordered list of numbers such as 5,
  14, 27, 44, 65,
• The numbers in a sequence that are separated by
  comma are the terms of the sequence, 5 is the
  first term, 14 is the second term, 27 is the
  third term, 44 is the fourth term, and 65 is the
  fifth term.

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• It is customary to use the subscript notation an
  to designate the nth term of a sequence.
• Difference Table.
• Find the next term in the following sequence. 5,
  14, 27, 44, 65, ___
• Example 1. Use a difference table to predict the
  next term in the sequence. 1, 14, 51, 124, 245,
  426, ____

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• Find the nth term formula for a Sequence
• Find the nth term formula for 2, 5, 8, 11, 14,
  17,
• Find the nth term formula for 2, 5, 10, 17, 26,
  37,
• The Fibonacci Sequence
• 1, 1, 2, 3, 5, 8, 13, 21, 34,
• F11, F21, F32, F43, Fn Fn-1Fn-2 for n gt2.
• Exercises Find the 10th Fibonacci Number
• Polygonal Numbers
• Triangular number 1, 3, 6, 10, 15, 21, 28, 36,
• Square number 1, 4, 9, 16, 25, 36, 49, 64,
• Pentagonal Numbers 1, 5, 12, 22, 35, 51, 70,

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Exercises for Section 1.2

• Page 23 1, 2, 4, 7, 8, 10, 11, 13, 14, 17, 18,
  20, 21, 27, 28

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1.3 Polyas problem-solving strategy

• Understand the problem
• Devise a plan
• Carry out the plan
• Review the solution
• Read the detailed suggestions on pages 28 and 29,
  and read the solved Example 1 to Example 4.

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Exercises for Section 1.3

• Page 38-39 1, 2, 3, 4, 5, 7, 8, 12a, 13, 17, 19,
  20, 21, 22, 28

Do Chapter 1 Test in Pages 45-46 to prepare
yourself for Test 1.