AnswersPrecalculusApplying Vectors in the Plane

Recursive Formulas Answers

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1
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Which geometric series converges?

A
mc009-1.jpg
Option A
B
mc009-2.jpg
Option B
C
mc009-3.jpg
Option C
D
mc009-4.jpg
Option D
2
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What is the value of S3 for ?

Question illustration
A
mc003-2.jpg
Option A
B
mc003-3.jpg
Option B
C
mc003-4.jpg
Option C
D
mc003-5.jpg
Option D
3

Which expression represents the second partial sum for ?

Question illustration
A
2(0.4) + 2(0.4)2
B
2(0.4)2 + 2(0.4)3
C
2 + 2(0.4)
D
0 + 2(0.4)1
4

What is the sum of ?

Question illustration
A
S =1.5
B
S = 2
C
S = 4.5
D
S = 8
5

Which geometric series converges?

A
mc014-1.jpg
Option A
B
mc014-2.jpg
Option B
C
mc014-3.jpg
Option C
D
mc014-4.jpg
Option D
6

Which equation gives the sum of ?

Question illustration
A
mc018-2.jpg
Option A
B
mc018-3.jpg
Option B
C
mc018-4.jpg
Option C
D
mc018-5.jpg
Option D
7

Which statement is true?

A
converges because |a1| < 1 and |r | < 1.
Option A
B
converges because |r | < 1 and |a1| does not affect convergence.
Option B
C
converges because |a1| > 1 and |r | > 1.
Option C
D
converges because |r | > 1 and |a1| does not affect convergence.
Option D
8

Which equation gives the sum of ?

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
9

What is the value of S4 for ?

Question illustration
A
2.48
B
12.48
C
16
D
24
10

Which geometric series converges?

A
mc011-1.jpg
Option A
B
mc011-2.jpg
Option B
C
mc011-3.jpg
Option C
D
mc011-4.jpg
Option D
11

What is the summation notation for the geometric series ?

Question illustration
A
mc007-2.jpg
Option A
B
mc007-3.jpg
Option B
C
mc007-4.jpg
Option C
D
mc007-5.jpg
Option D
12

What is sum of the geometric series ?

Question illustration
A
486
B
726
C
728
D
828
13

What are the values of r and a1 for ?

Question illustration
A
r = 0.45; a1 = 3
B
r = 0.45; a1 = 8
C
r = 8; a1 = 0.45
D
r = 8; a1 = 3
14

Abi takes a job with a starting salary of $100,000 for the first year. She earns a 3% increase each year. To the nearest dollar, how much does Abi make over the first six years?

A
$600,000
B
$618,000
C
$646,841
D
$716,431
15

Wen takes a job with a starting salary of $100,000 for the first year. She earns a 3% increase each year. What does S5 represent?

A
S5 represents the total amount of money that Wen earns over the last four years.
B
S5 represents the total amount of money that Wen earns over the first five years.
C
S5 represents the total of only the yearly increases that Wen earns over the first five years.
D
S5 represents the amount of money that Wen will earn in the fifth year.
16

Modern Appliances offers a one-year monthly installment plan for a refrigerator. The payment for the first month is $75, and then it increases by 6% each month for the rest of the year. Which expression can be used to find the total paid in the first 12 months?

A
mc018-1.jpg
Option A
B
mc018-2.jpg
Option B
C
mc018-3.jpg
Option C
D
mc018-4.jpg
Option D
17

Which geometric series converges?

A
mc015-1.jpg
Option A
B
mc015-2.jpg
Option B
C
mc015-3.jpg
Option C
D
mc015-4.jpg
Option D
18

Which of the following is a geometric series?

A
0.1 + 0.3 + 0.5 + 0.7
B
1 + 3 + 9 + 27
C
19 + 17 + 15 + 13
D
0.4 + 0.9 + 1.5 + 2.2
19

Which of the following is a geometric series?

A
40 + 50 + 60 + 70
B
40 + 42 + 44 + 46
C
40 + 80 + 40 + 120
D
40 + 20 + 10 + 5
20

What are the values of r and a1 for ?

Question illustration
A
mc004-2.jpg
Option A
B
mc004-3.jpg
Option B
C
mc004-4.jpg
Option C
D
mc004-5.jpg
Option D

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