11 Grade Algebra

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B_W7: Quiz #1

Sequences (15 questions)

1.

Which of the following represents an arithmetic sequence?

A.

5, -10, 20, -40

B.

3, 1, 4, 2

C.

2, 4, 8, 16

D.

3, 5, 7, 9,

2.

Find the common difference for the arithmetic sequence 2.3, 5.9, 9.5, 13.1, 16.7.

A.

d = 2.3

B.

d = 3.6

C.

d = 2.6

D.

d = 1.6

3.

If the second term of an arithmetic sequence is 10 and the seventh term is 35, find the 11th term.

A.

55

B.

50

C.

45

D.

60

4.

Given an arithmetic sequence with https://reactor.iqity.net/content.spr?contentId=c6863e42-2ca0-4cf8-b366-c3b5ff467476and https://reactor.iqity.net/content.spr?contentId=99736e84-1cfb-489b-89dd-fbc50348e603, find https://reactor.iqity.net/content.spr?contentId=54727813-92c7-49f9-a0ac-5cde706d45b5.

A.

61

B.

68

C.

75

D.

82

5.

Which of the following is a geometric sequence?

A.

3, 11, 19, 27, 35 …

B.

2, 4, 8, 16, 32 …

C.

4, 8, 12, 16, 20 …

D.

100, 81, 64, 49, 36 …

6.

What is the common ratio of the following sequence? 9, -27, 81, -243

A.

-1

B.

-2

C.

-3

D.

-4

7.

What is the common ratio of the following sequence? 8, 64, 512, 4096

A.

7

B.

8

C.

9

D.

10

8.

What are the next three terms of the sequence 1, -3, 9, -27,…?

A.

-54. 162, -486

B.

-81, 243, -729

C.

81, -243, 729

D.

57, -162, 486

9.

The fifth term of a geometric sequence is 112 and the ninth term is 1,792. Find the common ratio of the sequence.

A.

2

B.

4

C.

8

D.

16

10.

Find the 7th term of a geometric sequence with t1 = 6 and r = 4.

A.

24,576

B.

30,156

C.

93,546

D.

147,456

11.

Find the 15th term of the sequence: -3, 6, -12, 24 . . . .

A.

123

B.

-49,152

C.

-123

D.

49,152

12.

Find the four arithmetic means between 3 and 28.

A.

7, 12, 17, 22

B.

8, 14, 18, 24

C.

9, 14, 19, 24

D.

8, 13, 18, 23

13.

Find the four arithmetic means between 12 and -13.

A.

6, -1, -3, -8

B.

6, 2, -3, -8

C.

7, -1, -3, -8

D.

7, 2, -3, -8

14.

Find two geometric means between 5 and 135.

A.

12, 42

B.

13, 43

C.

14, 44

D.

15, 45

15.

Find three geometric means between 2 and 162.

A.

42, 82, 122

B.

6, 18, 54

C.

22.25, 40.5, 60.75

D.

6, 18, 36

B_W7: Quiz #2

Series (10 questions)

1.

Find the sum of the first 25 positive multiples of 4.

A.

2,600

B.

1,250

C.

1,000

D.

1,300

2.

Find S7 for 3 + 8 + 13 + 18 +…

A.

116

B.

121

C.

126

D.

131

3.

Find S11 for 3 + 1 + (-1) + (-3) +…

A.

-77

B.

-75

C.

-73

D.

-71

4.

Find S25 for 3 + 7 + 11 + 15 + …

A.

1263

B.

1267

C.

1271

D.

1275

5.

Find the sum of the terms of the geometric sequence 3, 6, 12, 24.

A.

40

B.

42

C.

45

D.

50

6.

Find https://reactor.iqity.net/content.spr?contentId=1eb37c2d-5c81-452f-8271-b8f3643b3139for a geometric series with first term 10 and common ratio 4.

A.

10,485,750

B.

1,048,586

C.

2,621,440

D.

3,495,250

7.

Find S11 for the geometric series 1 + 3 + 9 + 27 +…

A.

84,934

B.

88,573

C.

93,198

D.

96,143

8.

Find S20 for the geometric series 4 + 12 + 36 + 108 + …

A.

5,034,043,187

B.

5,123,498,245

C.

6,973,568,800

D.

7,321,089,348

9.

A maple tree loses 384 leaves during the first week of fall, and 1.5 times as many on each successive week. At the end of 7 weeks, all the leaves have fallen. How many leaves fell from the tree?

A.

13,120

B.

6,177

C.

12,354

D.

6,561

10.

Bill has decided to eat a healthier diet by decreasing the amount of salt he eats. He has decided to allow himself 35,000 milligrams of sodium in the first week of a new diet. Each week he will decrease the amount of sodium by 10%. How much sodium will he consume in the first 9 weeks of his new diet?

A.

112,862 mg

B.

163,015 mg

C.

214,403 mg

D.

315,000 mg