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Name: Date: - WORKSHEET : Fibonacci Sequences, Lecture notes of Calculus

Don Mariano Marcos Memorial State University (DMMMSU)Calculus

A sequence is a set of numbers where every term is defined by some rule. One basic rule of sequences is a Fibonacci style sequence where each term is the sum of ...

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Name: Date:
WORKSHEET :
Fibonacci Sequences
Fibonacci Sequence An = An-1 + An-2
Identify the sequence type.
1) 0, 1, 1, 2, 3, 5, 8...
2) 996, 2, 998, 1000, 1998...
3) 1, 2, 3, 5, 8, 13....
4) 1, 3, 9, 27....
Fibonacci Sequence An = An-1 + An-2
Identify the next term in the sequence.
5)
6) 996, 2, 998, 1000, 1998...
7)
8) 0, 0, 0, ...
9)
10) 5, -10, -5...
Fibonacci Sequence An = An-1 + An-2
Identify the nth term in the sequence.
11)
12) A999 = 1,000 A1000 = ?
13)
14) -10, 3, -7, -4... A6 = ?
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Name: Date: WORKSHEET : Fibonacci Sequences Fibonacci Sequence An = An- 1 + An- 2 Identify the sequence type.

  1. 0, 1, 1 , 2 , 3, 5, 8... 2) 996, 2, 998, 1000, 1998...
  2. 1, 2, 3, 5, 8, 13.... 4) 1, 3, 9, 27.... Fibonacci Sequence An = An- 1 + An- 2 Identify the next term in the sequence.
  3. 0, 1, 1, 2, 3, 5, 8... 6) 996, 2, 998, 1000, 1998...
  4. 1, 2, 3, 5, 8, 13.... 8 ) 0, 0, 0, ... 9 ) - 10, 3, - 7, - 4... 10 ) 5, - 10 , - 5... Fibonacci Sequence An = An- 1 + An- 2 Identify the n th term in the sequence. 11 ) 2, 3, 5, 8... A 6 =? 12 ) A 999 = 1,000 A 1000 =? 13 ) 6, 9, 15.... A 6 =? 14 ) - 10, 3, - 7, - 4... A 6 =?

ANSWERS :

Fibonacci Sequences Fibonacci Sequence An = An- 1 + An- 2 Identify the sequence type.

  1. 0, 1, 1, 2, 3, 5, 8... Fibonacci 2) 996, 2, 998, 1000, 1998... Fibonacci
  2. 1, 2, 3, 5, 8, 13.... Fibonacci 4) 1, 3, 9, 27.... Geometric Fibonacci Sequence An = An- 1 + An- 2 Identify the next term in the sequence.
  3. 0, 1, 1, 2, 3, 5, 8... 13 6) 996, 2, 998, 1000, 1998... 2,
  4. 1, 2, 3, 5, 8, 13.... 21 8) 0, 0, 0, ... 0
    • 10, 3, - 7, - 4... - 11 10) 5, - 10, - 5... - 15 Fibonacci Sequence An = An- 1 + An- 2 Identify the 6th term in the sequence.
  6. 2, 3, 5, 8... A 6 = 21 12) A 999 = 1,000 A 1000 = Φ × 1,000 = 1.618... × 1,000 ≈ 1,
  7. 6, 9, 15.... A 6 = 63 14) - 10, 3, - 7, - 4... A 6 = - 15