Quiz about Practice: Arithmetic and Geometric Sequences

Question 1

256, 128, 64, 32, ...

What's next?

Accepted Answer

16

Answer

24

Answer

18

Answer

8

Question 2

-21, -16, -11, -6, ...

Is this sequence arithmetic, geometric, or neither?

Accepted Answer

arithmetic (common difference d = 5)

Answer

geometric (common ratio r = 5)

Answer

neither (no common difference OR common ratio) neither (no common difference OR common ratio)

Question 3

A sequence can be generated by using a_n = a_(n-1)+9

where a₁ = 4

and n is a whole number greater than 1.

What are the first three terms in the sequence?

Accepted Answer

4, 13, 22

Answer

4, 36, 324

Answer

9, 13, 17

Answer

4, 8, 12

Question 4

What is the 8th term in the sequence below?
3, 9, 27, 81, ...

Accepted Answer

6,561

Answer

19,683

Answer

2,187

Answer

729

Question 5

What is the common ratio for the sequence:
28, 14, 7, 3.5...

Accepted Answer

1/2

Answer

2

Answer

-14

Answer

-7

Question 6

What is the 38th term of this sequence?
{26, 22, 18, 14, ... }

Accepted Answer

-122

Answer

-4

Answer

10

Answer

174

Question 7

What are the first three terms of the sequence defined by the following equation?
a_n = 7 + (n - 1)5

Accepted Answer

7, 12, 17

Answer

7, 35, 175

Answer

7, 2, -3

Answer

12, 17, 22

Question 8

Find the first term of the given sequence:
a₁₄=68
d=3

Accepted Answer

29

Answer

14

Answer

20

Answer

26

Question 9

Find the 22nd term of the following sequence:
5, 8, 11, ...

Accepted Answer

68

Answer

14

Answer

63

Answer

71

Question 10

Is the sequence 7, 9, 12, 16,... geometric?

Accepted Answer

no

Answer

yes

Question 11

This summation is the same as which series?

Accepted Answer

(1 - 2) + (2 - 2) + (3 - 2) + (4 - 2) + (5 - 2) + (6 - 2)

Answer

1 + 2 + 3 + 4 + 5 + 6

Answer

(1 - 2) + (6 - 2)

Answer

(1 - 2) + (2 - 2) + (3 - 2) + (4 - 2)

Question 12

Calculate the final sum/total of the series.

Accepted Answer

9

Answer

6

Answer

21

Answer

2

Question 13

Question 13.

Accepted Answer

196

Answer

392

Answer

49

Answer

254

Question 14

Given a₁ = 3 and a₆= 13, what is the common difference?

Accepted Answer

2

Answer

3

Answer

10

Answer

1

Question 15

Evaluate each series described (n is the number of terms in the series):
28 + 35 + 42 + 49 + ..., n = 10

Accepted Answer

595

Answer

2384

Answer

1192

Answer

1190

Question 16

Evaluate each series described (n is the number of terms in the series):
2 + 6 + 10 + 14 + ..., n = 8

Accepted Answer

128

Answer

494

Answer

256

Answer

255

Practice: Arithmetic and Geometric Sequences

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