MODULE 1.2 FIBONACCI SEQUENCE

• Sequence refers to an ordered list of numbers called terms, that may

  have repeated values. The arrangement of these terms is set by a definite rule.
• Kinds of sequence, Arithmetic, Geometric, Harmonic, Fibonacci
• Arithmetic sequence – it is a sequence of numbers that follows a definite

  pattern. To determine if the series of numbers follow an arithmetic sequence,

  check the difference between consecutive terms.
• Geometric sequence – is a sequence of numbers that follows a pattern were the

  next term is found by multiplying by a constant called the common ratio

  .
• Harmonic Sequence – in the sequence, the reciprocal of the terms behaved in

  a manner like arithmetic sequence.
• Fibonacci Sequence – is an integer in the infinite sequence 1,1, 2, 3, 5, 8, 13,..

  of which the first two terms are 1 and 1 and each succeeding term is the sum of

  the two immediately preceding
• Arithmetic Sequence Formula

  
• Geometric sequence

  
• Fibonacci Sequence

  
• The golden rectangle is made up of squares whose sizes,

  surprisingly is also behaving similar to the Fibonacci sequence.
• The Golden Ratio