Writing Sequence Formulas Terms of Use    Contact Person: Donna Roberts
Directions: These questions will ask you to write formulas for sequences. While one solution is offered, be aware that there are other notations and forms that may also be acceptable.

 1 Given the sequence: {6, 16, 26, 36, ...} a) Write an explicit formula for this sequence. b) Write a recursive formula for this sequence.

2.
Given the following sequence:
 n 1 2 3 4 ... f (n) 2 4 8 16 ...
a) Write an explicit formula for this sequence.

b) Write a recursive formula for this sequence.

 3 An explicit formula for a sequence is           f (n) = (-1)n • 2. a) List the first 5 terms of this sequence. b) Write a recursive formula for this sequence.

 4 Given the sequence: {1, 4, 9, 16, ...} a) Write an explicit formula for this sequence. b) Write a recursive formula for this sequence.

 5 Given the sequence: {1, 5, 25, 125, ...} a) Write an explicit formula for this sequence. b) Write a recursive formula for this sequence.

6.
 Given the sequence: {10, 2, -6, -14, ...} a) Write an explicit formula for this sequence. b) Write a recursive formula for this sequence.

 7 Given the sequence: a) Write an explicit formula for this sequence. b) Write a recursive formula for this sequence.

 8 Given the sequence: a1 = 6 and an+1 = an + 4 a) List the first 5 terms of this sequence. b) Write an explicit formula for this sequence.

 9 Given the sequence: a1 = -20 and an= an-1 ÷ 2 a) List the first 5 terms of this sequence. b) Write an explicit formula for this sequence.

 10 Given:      f (1) = 3 and f (n) = f (n-1) + 2 a) List the first 5 terms of this sequence. b) Write an explicit formula for this sequence.

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