Quiz about Arithmetic or Non Arithmetic

Question 1

Given the sequence: 15, 17, 20, 24, 29, ...Is it arithmetic, geometric or neither? If arithmetic, what is the common difference? If geometric, what is the common ratio ?

Accepted Answer

Not Arithmetic or Geometric, no common difference or common ratio

Answer

Arithmetic, common difference is 2

Answer

Arithmetic, common difference is -2

Answer

Geometric, common ratio is 2

Question 2

Given the sequence: 17, 14, 11, 8, 5, ...Is it arithmetic, geometric or neither? If arithmetic, what is the common difference? If geometric, what is the common ratio ?

Accepted Answer

Arithmetic, common difference is -3

Answer

Arithmetic, common difference is 3

Answer

Not Arithmetic or geometric, no common difference or common ratio

Answer

Geometric, common ratio is -3

Question 3

Write an explicit rule for the arithmetic sequence:

2, 8, 14, 20...

Accepted Answer

an=6n-4

Answer

an=2+6n

Answer

an=-6+6n

Answer

an=4-6n

Question 4

Find the first term, a₁, given the following information about an arithmetic sequence:

a₁₄=68

d=3

Accepted Answer

29

Answer

14

Answer

20

Answer

26

Question 5

Given a₃₌17 and common difference is 4,

write an explicit rule that models the sequence.

Accepted Answer

a_n= 4n + 5

Answer

a_n = 4n + 9

Answer

a_n = -4n - 5

Answer

a_n = -4n + 9

Question 6

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

Accepted Answer

17

Answer

18

Answer

15

Answer

14

Question 7

Given a₄=8 and a₇=14 in an arithmetic sequence, find the common difference, d.

Accepted Answer

2

Answer

6

Answer

3

Answer

-2

Question 8

What type of sequence is: 4, -8, 16, -32,..? If arithmetic, what is the common difference, d? If geometric, what is the common ratio, r?

Accepted Answer

Geometric (r = -2)

Answer

Arithmetic (d = 4)

Answer

Geometric (r = 2)

Answer

Arithmetic(d = -4)

Question 9

Determine the common ratio for the geometric sequence: 100, 80, 64, 51.2

Accepted Answer

r = 4/5

Answer

r = 5/4

Answer

r = -20

Answer

r = 20

Question 10

Which of the following is the explicit rule for the geometric sequence: $$\frac{1}{2},\frac{3}{2},\frac{9}{2},\frac{27}{2}$$

Accepted Answer

$$a_n=\frac{1}{2}\left(3\right)^{n-1}$$

Answer

$$a_n=3\left(\frac{1}{2}\right)^{n-1}$$

Answer

$$a_n=\frac{1}{2}\left(3\right)^{n-3}$$

Answer

$$a_n=\frac{1}{2}\left(\frac{1}{3}\right)^{n-1}$$

Question 11

If the terms of a geometric sequence are all positive numbers but are decreasing in value, what must be true about the common ratio, r?

Accepted Answer

r < 1

Answer

r > 1

Answer

r =1

Answer

Not enough information; r could be any value

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