Precalculus Discussion and Quiz - W6

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Week 6 "Series and Sequences" Take Test: W6 Quiz H

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Find the sum.

-1120 -1260 -1320 -1360

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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 = 243, an = 3n

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a5 = 3 , an = 3n/2-1

Find the indicated term of the sequence. The twenty-second term of the arithmetic sequence -15 , -19 , -23 , ...

69 -99 -103 73

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Find the sum.

42.75 192.4 231.75 274.5

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Find the indicated term using the given information. a48 = - , a26 = - ; a3

- 1 2 - -

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Find the sum.

-896 -1056 -1008 -1088

 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 = an-1 + 10 a1 = 79, d = -10, an = an-1 - 10 a1 = 89, d = -10, an = an-1 - 10 a1 = 89, d = 10, an = an-1 + 10

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Find the indicated term using the given information. 12, 10, 8, ... ; a26

-40 64 -38 62

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Find the indicated term using the given information. a11 = 6, a18 = 20; a6

-14 2 -4 -2

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 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 = 3π

a5 = 972π5, an = 4 ∙ 3nπn a5 = 324π4, an = 4 ∙ 3n-1πn-1 a5 = 4 + 12π, an = 4 + 3π(n-1) a5 = 324π, an = 4 ∙ 3n-1π

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 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 = 4, d = 9, an = an-1 + 9 a1 = 4, d = -9, an = an-1 - 9 a1 = 13, d = -9, an = an-1 - 9 a1 = 13, d = 9, an = an-1 + 9

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Find the indicated term using the given information. a = 7, d = - ; a41

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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 = 3an = ?; a10 = ?

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an = -6 + 3n; a10 = 24 an = -3 + 3n; a10 = 24 an = -6 + 3n; a10 = 36

 Find the sum. 3 + 6 + 9 + ... + 294

14553

14406 14259

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Find the sum.

1175 1075 1037.5 1262.5

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 Find the indicated term of the sequence. The ninth term of the arithmetic sequence 24, 19, 14, ...

-21 64 -16 -40

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Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and common difference, d, are given.

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a = 4; d = -7an = ?; a16 = ? an = 11 - 7n; a16 = -101 an = 11 - 7n; a16 = -52 an = 11 + 7n; a16 = -101 an = 4 - 7n; a16 = -101

 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 = -30, d = 4, an = an-1 + 4 a1 = 10, d = 4, an = an-1 + 4 a1 = -10, d = -4, an = an-1 - 4

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 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?

1070 seats 790 seats 1092 seats 1010 seats

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 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 = an-1 - 2

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 Find the sum. -3 + 1 + 5 + 9 + 13 + ... + (4n - 7)

n(4n + 7) n(2n + 5) n(2n - 5) n(4n - 7)

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Find the sum.

5332.5 4927.5 5040 5175

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 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 = -96; an = -6 ∙ (-2)n-1 a5 = 48; an = -6 ∙ (-2)n-1 a5 = 48; an = -6 ∙ (-2)n

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Solve. Suppose you just received a job offer with a starting salary of per year and a guaranteed raise of per year. How many years will it be before you've made a total (or aggregate) salary of ?

20 years 21 years

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25 years

Find the indicated term using the given information. a16 = 88, a13 = 73; a1

5 23 18 13

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