Geometric Sequence Explicit Recursive Formulas

What is the next term of the geometric sequence?

2, 10, 50...

• 250

• 75

• 500

• 475

Which of the following is the recursive formula for geometric sequences?

• g_n=g_n-1 (r)

• g_n=g₁ (r^n-1)

Which of the following is the explicit formula for geometric sequences?

• g_n=g_n-1 (r)

• g_n=g₁ (r^n-1)

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

The next two terms of the sequence 2,-4, 8,-16 are

• 32, 64

• 32, -64

• -64, 108

• 32, 20

Determine if the following sequence is arithmetic or geometric.

6, 12, 24, 48, 96, ...

• Arithmetic

• Geometric

Identify the common ratio for the given geometric sequence.

• r = 4

• r = 3

• r = 12

Find the first four terms of the sequence given the rule: a₁ = 10: a_n = 3a_n-1

• 3, 9, 27, 81

• 10, 30, 90, 270

• 10, 13, 16, 19

• 30, 90, 270, 810

What is the recursive rule for the sequence:

• f(1)=3, f(n)=2f(n-1)

• f(1)=2, f(n)=4f(n-1)

• f(1)=3, f(n)=2f(n-1)

• f(1)=2, f(n)=3f(n-1)

Find the next three terms: 4, 12, 36, 108, ...

• 324, 972, 2916

• 972, 2916, 8748

• 405, 1215, 3645