Math 3C Geometric Series

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

• 1024, 2048, 4096

• 32, 8, 2

• 64, 32, 16

• 92, 66, 38

What is the common ratio for the sequence:
28, 14, 7, 3.5...

• 2
• 1/2
• -14
• -7

Find the common ratio: 4, -16, 64, -256, ...

• r = -4
• r = 2
• r = -2
• r = 4

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1
• a_n = 3(4)^n-1
• a_n = -4(3)^n-1
• a_n = 3(-4)^n-1

Write the explicit equation for the geometric sequence: 15, 45, 135, . . . ?

Write the explicit equation for the geometric sequence:

5, 10, 20, 40, 80, ...

This sequence represents a(n)....

• Arithmetic Sequence

• Geometric Sequence

• Neither

Which sequence is represented by the equation a_n = 2(7)^n-1 ?

• 7, 14, 28, 56...

• 2, 14, 98, 686...

• 2, 9, 16, 23...

• 7,9,11,13...

Write the recursive rule for the geometric sequence:
64, 16, 4,...

• a₁ = 64; a_n = a_n-1 - ¼
• a₁ = 4; a_n = 4(a_n-1)
• a₁ = 64; a_n = 4(a_n-1)
• a₁ = 64; a_n =   1/4(a_n-1)

Which formula is used to find the recursive equation for geometric sequences?

• a_n = a_(n-1) + d
• a_n = r⋅a_(n-1)
• a_n = a₁ + d(n-1)
• a_n = a₁ ⋅ r^n-1