Geometric Sequences

Find the common ratio for the geometric sequence.

• 1

• -1

• 7

• -7

Find the common ratio for the geometric sequence.

• -4

• 4

• 1/4

• -1/4

Is the sequence 2, 4, 12, 48,... geometric?

• yes

• no

Find the common ratio: 64, -16, 4, -1, ...

• r = -8

• r = -1/4

• r = -4

• r = 4

Find the common ratio for the following geometric sequence:

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

• 1

• -1

• 7

• -7

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

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

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

Find a₁₁ in the following geometric sequence:

• -4,096

• -¹/₂₅₆

• -3,072

• -236,196

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

a_n = 6(2)^n-1

• 4096

• 24,576

• 2048

• 12,288