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Recursion Formulas Sample Questions

Here are a few sample questions so that you can test your understanding of the examples on the recursive formulas page. For more questions, see your booklet.

1. Given the start of the following progressions, write the recursion formula and fill in the next 3 terms.

a) 5, 8, 11, 14, ___, ___, ___

b) 10, 5, 0, -5, ___, ___, ___

c) 1, 2, 4, 8, ___, ___, ___

 

2. Find the first five terms of the progressions defined by the following recursion formulas:

a) = + 6, where = 15

b) = ÷ 2, where = 64

 

 

 

 

 

Answers

1. a) = + 3: 17, 20, 23

b) = - 5: -10, -15, -20

c) = x 2: 16, 32, 64

 

2. a) 15, 21, 27, 33, 39

b) 64, 32, 16, 8, 4