1.6 FIBONACCHI AND HARMONIC SEQUENCE

• Fibonacchi Sequence - The pattern shows that each successive term is the sum of the two preceding terms.
• The Formula for Fibonacchi Sequence:

  (Note:

  Write subscript like aₙ as [an]. For example, a₅ we write it as a5.

  For Fractions, instead of writing ½, write 1/2 instead.

  For Exponents, we use [^]. For example, a⁴ can be written as a^4.)

  Fn = Fn-2 + Fn-1
• F1 = 1
• F2 = 1
• F3 = 2
• F4 = 3
• F5 = 5
• F6 = 8
• F7 = 13
• F8 = 21
• F9 = 34
• F10 = 55
• F11 = 89
• F12 = 144
• F13 = 233
• F14 = 377
• F15 = 610
• F16 = 987
• F17 = 1597
• F18 = 2584
• F19 = 4181
• F20 = 6765
• Find Fn if n is 5.

  Fn = 5
• Find Fn if n = 7

  Fn = 13
• Find Fn if n = 14

  Fn = 377
• Find Fn if n = 19

  Fn = 4181
• Harmonic Sequence - It is a special type of sequence in which the reciprocal of each term forms an arithmetic sequence.