Geometric Sequences

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

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

• 324, 972, 2916

• 972, 2916, 8748

• 405, 1215, 3645

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

• 36, -108, 324

• -324, -972, -2916

• 324, -972, 2916

• -108, 324, -972

Write the explicit formula for the geometric sequence.

• g_n = 4(3)^n-1

• g_n = 3(4)^n-1

• g_n = -4(3)^n-1

• g_n = 3(-4)^n-1

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

Suppose you have a geometric sequence with the starting value of 3 and a common ratio of -2. What is the 4th term in this sequence?

Mathematical Equivalence

ON

Suppose you have a geometric sequence with the term zero of 3 and a common ratio of -2. What is the 3rd term in this sequence?

Mathematical Equivalence

ON

Find a₁₂ in the sequence -1, -3, -9, -27, ...

• -177,147

• -19,683

• -59,049

• 118,098

A geometric sequence has a common ration(r) of 3 and the 8th term (a₈) is 13,122. What is the first term of the sequence (a₁)?

• 3

• 6

• 18

• 2

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

• 20, 100, 500, 2500

• 5, 20, 80, 320

• 4, 20, 100, 500

• 4, 9, 14, 19