1) Find the 5th term of the sequence given by the rule an = 2n. a) 30 b) 31 c) 32 d) 33 2) An arithmetic sequence has a 10th term of 17 and a 14th term of 30. Find the common difference. a) 12/4 b) 2/4 c) 3/4 d) 13/4 3) If one term in the arithmetic sequence is a21 = -17 and the common difference is d = -3, find a1. a) a1 = 43 b) a1 = -43 c) a1 = 34 d) a1 = -34 4) Which term of the arithmetic sequence 4, 1, -2, -5, ... is -29? a) 9th term b) 10th term c) 11th term d) 12th term 5) A sequence in which each term after the first is obtained by adding the preceding term by a constant is called _____. a) Arithmetic b) Geometric c) Harmonic d) Fibonacci 6) Find the 32nd term of the sequence 9, 4, -1, -6, -11, ... a) 81 b) -34 c) -146 d) -225 7) Identify the common difference; -21, -18, -15, -12, ... a) 4 b) 3 c) -4 d) -3 8) Identify the common difference; 10, 20, 30, 40, ... a) 5 b) 10 c) 15 d) 20 9) Create the nth term of the sequence 2, 8, 14, ... a) an = 2 + 6n b) an = -6 + 6n c) an = 6n - 4 d) an = 4 - 6n 10) What is the 3rd term in this sequence? 2.4, ___, ___, ___, 8 a) 5 b) 5.2 c) 6 d) 4 11) What is the meaning of d in the nth term of arithmetic sequence? a) common deference b) difference c) common different d) common difference 12) Find the 22nd term of the sequence 5, 8, 11, ...? a) 14 b) 68 c) 63 d) 71 13) Find the number of terms in the finite arithmetic sequence 6, 11, 16, ..., 56. a) n = 11 b) n = 12 c) n = 13 d) n = 14 14) The terms between any two nonconsecutive terms of an arithmetic sequence are called _____. a) differences b) means c) ratios d) last terms 15) The arithmetic mean between two terms in an arithmetic sequence is 39. If one of these terms is 32, find the other term. a) 46 b) 53 c) -46 d) -53 16) If five arithmetic means are inserted between -9 and 9, what is the third mean? a) -3 b) 3 c) 0 d) 6 17) Insert 4 arithmetic means between 5 and 25. a) 8, 12, 16, 20 b) 7, 11, 15, 21 c) 10, 14, 18, 22 d) 9, 13, 17, 21 18) Find the sum of the first 24 terms of the arithmetic sequence 127, 114, 101, 88, ... a) 1642.5 b) -1642.5 c) 1642 d) -1642 19) Find the sum of the first 15 terms of the arithmetic sequence 876, 883, 890, 897, ... a) 13, 875.5 b) 13, 870 c) 13, 870.5 d) 13, 875 20) Find the sum of all odd integers from 13 to 99. a) 2, 464 b) 2, 365 c) 2, 500 d) 2, 425
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Arithmetic Sequence
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