1) Write the first terms of the sequence an = 2n + 3 a) 10,23,33,45,87 b) 12,14,16,18,20 c) 5,7,9,11,13 d) 2,4,6,8,10 2) What is Arithmetic Sequence a) a special type of sequence where the ratio of every two successive terms is a constant. b) Sequence whose consecutive terms have a common differences c) the sum of a sequence in which each term is computed from the previous one by adding (or subtracting) a constant. d) the sum of an infinite number of terms that have a constant ratio between successive terms. 3) Determine whether the sequences given below form arithmetic progressions. If they do, identify the common difference (d). 4, 0, –4, –8, –12, ... a) Yes, d = -4 b) Yes, d = 6 c) Yes, d = 4 d) No 4) Determine whether the sequences given below form arithmetic progressions. If they do, identify the common difference (d). 7,10,16,19,25, ... a) Yes, d = 3 b) Yes, d = 6 c) No d) Yes, d = 2 5) Which of the following sequence is an arithmetic progression? a) 3, 12, 48, 192, 768, ... b) –5, –10, –15, –20, –25, ... c) 6.5, 26.5, 56.5, 96.5, ... d) 10,15, 25, 45, ... 6) Write the first term (a) and the common difference (d) of the arithmetic sequence. –190, –290, –390, –490, –590, ... a) a = -290 d = 200 b) a = -190 d = 100 c) a = -390 d = -200 d) a = -190 d = -100 7) Write the first term (a) and the common difference (d) of each arithmetic sequence. 77,105,133,161,189,... a) a = 77 d = 28 b) a = 105 d = 30 c) a = 77 d = 30 d) a = 70 d = 7 8) Determine if the sequence is arithmetic. If it is, find the common difference. 35, 32, 29, 26, ... a) d = -3 b) d = 10 c) d = 20 d) d = -10 9) 4.1, 7.2, 10.3, 13.4 is an arithmetic sequence? a) True b) False 10) For the arithmetic sequence -1.3, -0.7, 0.1, 0.9 .... find the common difference. a) d = 0.8 b) d = 1 c) d = 2 d) d = -5 11) What is the common difference of the arithmetic sequence 3, 5, 7, 9, 11, 13 a) d = 3 b) d = 2 c) d = 1 d) d = 4 12) Fill in the blank ( Arithmetic sequence ...... to get to the next term ) a) add b) multiply c) subtract d) divide 13) Find the next four terms of -9, -2, 5, ..... a) 6, 7, 8, 9 b) 10, 12, 14, 16 c) 7, 9, 11, 13 d) 12, 19, 26, 33 14) Find the next four terms of 0, 7, 14, ..... a) 15, 16, 17, 18 b) 21, 28, 35, 42 c) 20, 25, 27, 30 d) 18, 23, 26, 29 15) Find the 9th term of the arithmetic sequence 1, 3.5, 6, 8.5, ..... a) 15 b) 10 c) 21 d) 28

Arithmetic Sequences

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