1 Find the first term, the common difference, and give a recursive formula for the arithmetic sequence. 6th term is -10; 15th term is -46 a1 = 10, d = -4, an = an-1 - 4 a1 = 10, d = 4, an = an-1 + 4 a1 = -30, d = 4, an = an-1 + 4 a1 = -10, d = -4, an = an1-4 4 points Question 2 Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and common difference, d, are given. a = -3; d = 3 an = ?; a10 = ? an = -6 - 3n; a10 = 24 an = -3 + 3n; a10 = 24 an = -6 + 3n; a10 = 24 an = -6 + 3n; a10 = 36 4 points Question 3 Find the sum. -1360 -1120 -1260 -1320 4 points Question 4 Find the sum. 1175 1075 1262.5 1037.5 4 points Question 5 Find the indicated term using the given information. a48 = - , a26 = - ; a3 -1 - 2 4 points Question 6 Find the first term, the common difference, and give a recursive formula for the arithmetic sequence. 9th term is -68; 15th term is -122 a1 = 13, d = 9, an = an-1 + 9 a1 = 4, d = -9, an = an-1 - 9 a1 = 4, d = 9, an = an-1 + 9 a1 = 13, d = -9, an = an1-9 4 points Question 7 Find the indicated term using the given information. a11 = 6, a18 = 20; a6 -14 -4 -2 2 4 points Question 8 Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given. a = -6; r = -2 a5 = -96; an = -6 (-2)n a5 = 48; an = -6 (-2)n a5 = -96; an = -6 (-2)n1 a5 = 48; an = -6 (-2)n1 4 points Question 9 Find the sum. 3 + 6 + 9 + ... + 294 14259 14553 14406 4 points Question 10 Find the sum. 42.75 192.4 231.75 274.5 4 points Question 11 Find the first term, the common difference, and give a recursive formula for the arithmetic sequence. 7th term is 4; 13th term is 16 a1 = -8, d = 2, an = an-1 - 2 a1 = -8, d = 2, an = an-1 + 2 a1 = -10, d = 2, an = an-1 - 2 a1 = -10, d = 2, an = an1+2 4 points Question 12 Find the indicated term using the given information. 12, 10, 8, ... ; a26 -38 64 62 -40 4 points Question 13 Find the sum. -3 + 1 + 5 + 9 + 13 + ... + (4n - 7) n(2n + 5 ) n(4n + 7 ) n(2n - 5) n(4n - 7) 4 points Question 14 Solve. A local civic theater has 22 seats in the first row and 21 rows in all. Each successive row contains 3 additional seats. How many seats are in the civic theater? 790 seats 1070 seats 1010 seats 1092 seats 4 points Question 15 Find the indicated term of the sequence. The twenty-second term of the arithmetic sequence -15 , -19 , -23 , ... -103 73 69 -99 4 points Question 16 Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given. a= ;r= a5 = 9 , an = 3n/2 a5 = 3 , an = 3n/2-1 a5 = 81 1/2 , an = 3n- a5 = 243, an = 3n 4 points Question 17 Find the first term, the common difference, and give a recursive formula for the arithmetic sequence. 10th term is -11; 14th term is -51 a1 = 79, d = -10, an = an1 - 10 a1 = 89, d = -10, an = an1 - 10 a1 = 79, d = 10, an = an-1 + 10 a1 = 89, d = 10, an = an-1 + 10 4 points Question 18 Find the sum. -1056 -1008 -896 -1088 4 points Question 19 Find the indicated term using the given information. a = 7, d = - ; a41 12 2 4 points Question 20 Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given. a = 4; r = 3 a5 = 3244, an = 4 3n-1n1 a5 = 324, an = 4 3n-1 a5 = 9725, an = 4 3nn a5 = 4 + 12, an = 4 + 3(n-1) 4 points Question 21 Find the sum. 5040 4927.5 5332.5 5175 4 points Question 22 Find the indicated term of the sequence. The ninth term of the arithmetic sequence 24, 19, 14, ... -21 64 -40 -16 4 points Question 23 Find the indicated term using the given information. a16 = 88, a13 = 73; a1 5 13 18 23 4 points Question 24 Solve. Suppose you just received a job offer with a starting salary of of per year and a guaranteed raise per year. How many years will it be before you've made a total (or aggregate) salary of ? 21 years 25 years 20 years 18 years 4 points Question 25 Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and common difference, d, are given. a = 4; d = -7 an = ?; a16 = ? an = 11 - 7n; a16 = -101 an = 4 - 7n; a16 = -101 an = 11 + 7n; a16 = 101 an = 11 - 7n; a16 = -52