Quiz about Geometric Sequences - Explicit Formula

Question 1

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

Accepted Answer

arithmetic

Answer

geometric

Answer

neither

Question 2

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

Accepted Answer

geometric

Answer

arithmetic

Answer

neither

Question 3

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

Accepted Answer

geometric

Answer

arithmetic

Answer

neither

Question 4

Find the common ratio for the geometric sequence.

Accepted Answer

2

Answer

10

Answer

1/2

Answer

4

Question 5

Write the explicit formula 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 6

Find the common ratio for the geometric sequence.

Accepted Answer

-1

Answer

1

Answer

7

Answer

-7

Question 7

Write the explicit formula for the geometric sequence.

Accepted Answer

a_n = 7(-1)^n-1

Answer

a_n = 7(1)ⁿ

Answer

a_n = 7(-1)ⁿ

Answer

a_n = -1(7)^n-1

Question 8

Find the common ratio for the geometric sequence.

Accepted Answer

-4

Answer

4

Answer

1/4

Answer

-1/4

Question 9

Write the explicit formula 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 10

Find the common ratio for the geometric sequence.

Accepted Answer

2/3

Answer

3/2

Answer

-2/3

Answer

-3/2

Question 11

Write the explicit formula for the geometric sequence.

Accepted Answer

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

Answer

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

Answer

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

Answer

a_n = 162 + (n-1)(-54)

Question 12

Find the common ratio for the geometric sequence.

Accepted Answer

1/2

Answer

2

Answer

-2

Answer

-1/2

Question 13

Write the explicit formula for the geometric sequence.

Accepted Answer

a_n = 100(1/2)^n-1

Answer

a_n = 2(100)^n-1

Answer

a_n = 100(2)^n-1

Answer

a_n = (1/2)(100)^n-1

Question 14

What is the 14th term of the geometric sequence?

Accepted Answer

4,782,969

Answer

14,348,907

Answer

1,594,323

Answer

45

Question 15

What is the 11th term of the geometric sequence?

Accepted Answer

-19,531,250

Answer

-5120

Answer

97,656,250

Answer

19,531,250

Geometric Sequences - Explicit Formula

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