Regents Exam Questions CC.F.IF.3: Sequences Page 1 www.jmap.org Name: __________________________________ CC.F.IF.3 Sequences: Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. 1 What is the common difference of the arithmetic sequence 1) ? 2) 3) 3 4) 9 2 Which arithmetic sequence has a common difference of 4? 1) 2) 3) 4) 3 What is the common difference in the sequence 1) 2) 3) 4) , , , ? 4 What is the common difference of the arithmetic sequence below? 1) 2) 3) 3 4) 5 What is the common ratio of the sequence 1) 2) 3) 4) ? Regents Exam Questions CC.F.IF.3: Sequences Page 2 www.jmap.org Name: __________________________________ 6 What is the common ratio of the geometric sequence whose first term is 27 and fourth term is 64? 1) 2) 3) 4) 7 What is the common ratio of the geometric sequence shown below? 1) 2) 2 3) 4) 8 The common ratio of the sequence is 1) 2) 3) 4) 9 What is the fifteenth term of the geometric sequence 1) 2) 3) 4) 10 What is the fifteenth term of the sequence 1) 2) 3) 81,920 4) 327,680 ? ? Regents Exam Questions CC.F.IF.3: Sequences Page 3 www.jmap.org Name: __________________________________ 11 An arithmetic sequence has a first term of 10 and a sixth term of 40. What is the 20th term of this sequence? 1) 105 2) 110 3) 124 4) 130 12 The first four terms of the sequence defined by and are 1) 2) 3) 4) 13 If 1) 2) 11 3) 21 4) 43 and , then 14 If a sequence is defined recursively by is equal to 1) 1 2) 3) 5 4) 17 and for 15 What is the fourth term of the sequence defined by 1) 2) 3) 4) 16 Find the third term in the recursive sequence , where . , then Regents Exam Questions CC.F.IF.3: Sequences Page 4 www.jmap.org Name: __________________________________ 17 Find the first four terms of the recursive sequence defined below. 18 Use the recursive sequence defined below to express the next three terms as fractions reduced to lowest terms. Regents Exam Questions CC.F.IF.3: Sequences www.jmap.org 1 ANS: 3 2 ANS: 3 3 ANS: 1 REF: 011401a2 4 ANS: 4 5 ANS: 2 REF: 061326a2 6 ANS: 3 REF: 081025a2 7 ANS: 3 REF: 011304a2 8 ANS: 1 REF: 011508a2 9 ANS: 1 REF: 061109a2 10 ANS: 3 REF: 061001a2 REF: 011110a2 REF: 061411a2 Regents Exam Questions CC.F.IF.3: Sequences www.jmap.org REF: 011105a2 11 ANS: 3 REF: 081510a2 12 ANS: 1 13 ANS: 4 REF: 081520a2 REF: 081424ai 14 ANS: 3 REF: 011520ai 15 ANS: 3 REF: 061512a2 16 ANS: . REF: 061233a2 17 ANS: REF: fall0934a2 18 ANS: REF: 011537a2 . .