Geometric Sequence with Dots

In the geometric sequence

2, 6, 18, n, 162, ..., what is the value of n?

• 54

• 90

• 24

• 36

Tags

CCSS.HSF.BF.A.2

If the first term of a geometric sequence is 6 and its common ratio is 2, the next three terms are:

• 12, 24, 48

• 8, 10, 12

• 4, 2, 0

• 3, 6, 9

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the following geometric sequence: 10, 20, 40, 80, ...

• a_n = 10(2)^n-1

• a_n = 2(10)^n-1

• a_n = 10(2)ⁿ

• a_n = 2(10)ⁿ

Tags

CCSS.HSF.BF.A.2

Find the common ratio for the following geometric sequence:

7, -7, 7, -7, ...

• 1

• -1

• 7

• -7

Tags

CCSS.HSF.BF.A.2

Write an explicit rule for the general term of the sequence 5, 15, 45, . . . ?

• a_n = a_n-1 x 3

• a_n = 5(3)^n-1

• a_n = 3(5)^n-1

• a_n = 5 + (n-1)3

Tags

CCSS.HSF.BF.A.2

Write the explicit rule for the following geometric sequence: 2, -12, 72, ...

• a_n = 72(-6)^n-1

• a_n = 2(-6)^n-1

• a_n = 2(6)^n-1

• a_n = 72(-6)^n-1

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the following geometric sequence: 3, -12, 48, -192, ...

• a_n = 4(3)^n-1

• a_n = 3(4)^n-1

• a_n = -4(3)^n-1

• a_n = 3(-4)^n-1

Tags

CCSS.HSF.BF.A.2

Find the 11^th term for:  64, -32, 16, -8, …  

• -.0625

• .0625

• -.03125

• .03125

Tags

CCSS.HSF.BF.A.2

Find a₁₁ in the following geometric sequence:

-3, 6, -12, 24

• -4,096

• -¹/₂₅₆

• -3,072

• -236,196

Tags

CCSS.HSF.BF.A.2

Find a₁₂ for the geometric sequence defined by the following formula:

a_n = 6(2)^n-1

• 4096

• 24,576

• 2048

• 12,288

Tags

CCSS.HSF.BF.A.2