Quiz about Arithmetic and Geometric Sequences

Question 1

Is this an Arithmetic sequence? 5, 4.25, 3.5, 2.75

Accepted Answer

Yes

Answer

No

Question 2

Is this an arithmetic sequence?  91, 87, 84, 79

Accepted Answer

No

Answer

Yes

Question 3

Is this an arithmetic sequence?
4, 7, 10, 13,...

Accepted Answer

Yes

Answer

No

Question 4

Is this an Arithmetic sequence? x+3, x+6, x+9

Accepted Answer

Yes

Answer

No

Question 5

What is the common difference? 1213, 1172, 1131, 1090

Accepted Answer

-41

Answer

42

Answer

41

Answer

There is not one

Question 6

Find the equation for the n^th term:

2, 7, 12, 17, 22,...

Accepted Answer

Un=2+5(n-1)

Answer

Un=5+2n

Answer

Un=5+2(n-1)

Answer

Un=2+5n

Question 7

Find the equation: for the n^th term

32, 46, 60, 74, 88,...

Accepted Answer

Un=32+14(n-1)

Answer

Un=32

Answer

Un=32+14n

Answer

Un=14+32(n-1)

Question 8

Find u₂₅, given: u₁ = 5; d = 0.5

Accepted Answer

17

Answer

18

Answer

15

Answer

14

Question 9

Find u₂₂, given the arithmetic sequence 3, 7.5, 12, 16.5

Accepted Answer

97.5

Answer

96.5

Answer

95.5

Answer

93.5

Question 10

Find the first term of the given sequence:

u₁₄=68

d=3

Accepted Answer

29

Answer

14

Answer

20

Answer

26

Question 11

Find the missing term of the arithmetic sequence.
-15, __, 1, ...

Accepted Answer

-7

Answer

3

Answer

5

Answer

-10

Question 12

Determine whether the sequence is arithmetic, geometric, or neither.

Accepted Answer

arithmetic

Answer

geometric

Answer

neither

Question 13

Determine whether the sequence is arithmetic, geometric, or neither.

Accepted Answer

geometric

Answer

arithmetic

Answer

neither

Question 14

Write the explicit formula (u_n) for the geometric sequence.

Accepted Answer

a_n = 10(2)^n-1

Answer

a_n = 2(10)^n-1

Answer

a_n = 10(2)ⁿ

Answer

a_n = 2(10)ⁿ

Question 15

Find the common ratio for the geometric sequence.

Accepted Answer

-1

Answer

1

Answer

7

Answer

-7

Question 16

Find the common ratio for the geometric sequence.

Accepted Answer

-4

Answer

4

Answer

1/4

Answer

-1/4

Question 17

Write the explicit formula (u_n) for the geometric sequence.

Accepted Answer

a_n = 3(-4)^n-1

Answer

a_n = 4(3)^n-1

Answer

a_n = 3(4)^n-1

Answer

a_n = -4(3)^n-1

Question 18

Find the common ratio for the geometric sequence.

Accepted Answer

2/3

Answer

3/2

Answer

-2/3

Answer

-3/2

Question 19

Write the explicit formula (u_n) for the geometric sequence.

Accepted Answer

Un = 162(2/3)^n-1

Answer

Un= (2/3)(162)^n-1

Answer

Un = 162(3/2)^n-1

Answer

2/3

Question 20

Find U₁₄

Accepted Answer

4,782,969

Answer

14,348,907

Answer

1,594,323

Answer

45

Question 21

Find u₁₁

Accepted Answer

-19,531,250

Answer

-5120

Answer

97,656,250

Answer

19,531,250

Question 22

Given a geometric sequence with terms: u₂: -4 u₅: 32

Find u_n and u₁₀

Accepted Answer

u_n=2(-2)^n-1 u₁₀= -1024

Answer

u_n=2(-2)^n-1 u₁₀= 1024

Answer

u_n=2(2)^n-1 u₁₀= 512

Answer

u_n=2(-2)^n-1 u₁₀= -512

Question 23

Given arithmetic sequence with U₁₀= -147 and U₅₀= -267. Find u₁ and d.

Accepted Answer

u₁= -120 d = -3

Answer

u₁ = 120 d = 3

Answer

u₁= 120 d = -3

Answer

u₁= 147 d = 3

Question 24

Given geometric sequence with u₁= 1000 and r = 1/3. At what term in the sequence does the value equal 0.00188?

Accepted Answer

n=13

Answer

n =12

Answer

n=5

Answer

n =6

Question 25

Johnny Sna Z. Pants has been decreasing his GPA by 2% per semester since he was in 7th grade. What is r for the geometric sequence?

Accepted Answer

0.98

Answer

1.02

Answer

4.0 (1.02)^x-1

Answer

4.0 (1.02)^x-1

Arithmetic and Geometric Sequences

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